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Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728

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Chapter
Section
BuyFindarrow_forward

Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728
Chapter 2.5, Problem 30PS
Textbook Problem
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For Problems 17-40, solve each of the inequalities and graph the solution set on a number line. (Objective 2)

1 + 6 x > - 17

To determine

To find:

The solution set of the inequality 1+6x>-17

Explanation of Solution

Approach:

Solving an inequality:

It is the process of finding the numbers that make an algebraic inequality a true numerical statement. These numbers are called the solutions of inequality.

The process of solving an inequality is given below:

Step 1: If parentheses are present, use the distributive property of multiplication.

Step 2: Combine any like terms on each side of the inequality.

Step 3: Use the addition property of inequality to rewrite the equation so that variable terms are on one side of the inequality and constant terms are on the other side.

Step 4: Divide both sides by numerical coefficient of the variable to solve.

Graph to represent the solution set:

Parentheses are used to indicate exclusion of endpoint, whereas square bracket is used to indicate inclusion of endpoint.

For example, the solution set of inequality x>-2 can be represented on the graph as follows:

The parentheses at -2 indicates that -2 is excluded from the solution. The red part of the line indicates that all real numbers greater than -2 are solutions.

The solution set of inequality x-1 is represented on the graph as follows:

The square bracket at -1 indicates that -1 is included in the solution. The red part of the line indicates that all real numbers less than -1 are solutions.

Calculation:

The given inequality is 1+6x>-17

Let’s subtract 1 from both sides of inequality so that only variable term remains on left side of the inequality

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Chapter 2 Solutions

Intermediate Algebra
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Ch. 2.1 - For Problems 1-50, solve each equation. Objective...Ch. 2.1 - For Problems 1-50, solve each equation. Objective...Ch. 2.1 - For Problems 1-50, solve each equation. Objective...Ch. 2.1 - For Problems 1-50, solve each equation. Objective...Ch. 2.1 - For Problems 1-50, solve each equation. Objective...Ch. 2.1 - For Problems 1-50, solve each equation. Objective...Ch. 2.1 - For Problems 1-50, solve each equation. Objective...Ch. 2.1 - For Problems 1-50, solve each equation. Objective...Ch. 2.1 - For Problems 1-50, solve each equation. Objective...Ch. 2.1 - For Problems 1-50, solve each equation. Objective...Ch. 2.1 - For Problems 1-50, solve each equation. Objective...Ch. 2.1 - For Problems 1-50, solve each equation. Objective...Ch. 2.1 - For Problems 1-50, solve each equation. Objective...Ch. 2.1 - For Problems 1-50, solve each equation. Objective...Ch. 2.1 - For Problems 1-50, solve each equation. Objective...Ch. 2.1 - For Problems 1-50, solve each equation. 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For problems 41-70, solve each inequality and...Ch. 2.5 - Thoughts Into Words Do the less than and greater...Ch. 2.5 - Thoughts Into Words Give a step-by-step...Ch. 2.5 - Thoughts Into Words How would you explain to...Ch. 2.5 - Further Investigations Solve each of the following...Ch. 2.6 - For Problems 1-5, answer true or false. 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The...Ch. 2.6 - For Problems 6-10, match the compound statement...Ch. 2.6 - For Problems 6-10, match the compound statement...Ch. 2.6 - For Problems 6-10, match the compound statement...Ch. 2.6 - For Problems 6-10, match the compound statement...Ch. 2.6 - For Problems 6-10, match the compound statement...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 35-44, solve each compound inequality...Ch. 2.6 - For Problems 35-44, solve each compound inequality...Ch. 2.6 - For Problems 35-44, solve each compound inequality...Ch. 2.6 - For Problems 35-44, solve each compound inequality...Ch. 2.6 - For Problems 35-44, solve each compound inequality...Ch. 2.6 - For Problems 35-44, solve each compound inequality...Ch. 2.6 - For Problems 35-44, solve each compound inequality...Ch. 2.6 - For Problems 35-44, solve each compound inequality...Ch. 2.6 - For Problems 35-44, solve each compound inequality...Ch. 2.6 - For Problems 35-44, solve each compound inequality...Ch. 2.6 - For Problems 45-56, solve each compound inequality...Ch. 2.6 - For Problems 45-56, solve each compound inequality...Ch. 2.6 - For Problems 45-56, solve each compound inequality...Ch. 2.6 - For Problems 45-56, solve each compound inequality...Ch. 2.6 - For Problems 45-56, solve each compound inequality...Ch. 2.6 - For Problems 45-56, solve each compound inequality...Ch. 2.6 - For Problems 45-56, solve each compound inequality...Ch. 2.6 - For Problems 45-56, solve each compound inequality...Ch. 2.6 - For Problems 45-56, solve each compound inequality...Ch. 2.6 - For Problems 45-56, solve each compound inequality...Ch. 2.6 - For Problems 45-56, solve each compound inequality...Ch. 2.6 - For Problems 45-56, solve each compound inequality...Ch. 2.6 - For Problems 57-67, solve each problem by setting...Ch. 2.6 - For Problems 57-67, solve each problem by setting...Ch. 2.6 - For Problems 57-67, solve each problem by setting...Ch. 2.6 - For Problems 57-67, solve each problem by setting...Ch. 2.6 - For Problems 57-67, solve each problem by setting...Ch. 2.6 - For Problems 57-67, solve each problem by setting...Ch. 2.6 - For Problems 57-67, solve each problem by setting...Ch. 2.6 - For Problems 57-67, solve each problem by setting...Ch. 2.6 - For Problems 57-67, solve each problem by setting...Ch. 2.6 - For Problems 57-67, solve each problem by setting...Ch. 2.6 - For Problems 57-67, solve each problem by setting...Ch. 2.6 - Explain the difference between a conjunction and a...Ch. 2.6 - How do you know by inspection that the solution...Ch. 2.6 - Find the solution set for each of the following...Ch. 2.7 - For Problems 1-10, answer true or false. The...Ch. 2.7 - For Problems 1-10, answer true or false. The...Ch. 2.7 - For Problems 1-10, answer true or false. The...Ch. 2.7 - For Problems 1-10, answer true or false. The...Ch. 2.7 - For Problems 1-10, answer true or false. The...Ch. 2.7 - For Problems 1-10, answer true or false. The...Ch. 2.7 - For Problems 1-10, answer true or false. The...Ch. 2.7 - For Problems 1-10, answer true or false. The...Ch. 2.7 - For Problems 1-10, answer true or false. If a...Ch. 2.7 - For Problems 1-10, answer true or false. If a...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 17-30, solve each inequality and...Ch. 2.7 - For Problems 17-30, solve each inequality and...Ch. 2.7 - For Problems 17-30, solve each inequality and...Ch. 2.7 - For Problems 17-30, solve each inequality and...Ch. 2.7 - For Problems 17-30, solve each inequality and...Ch. 2.7 - For Problems 17-30, solve each inequality and...Ch. 2.7 - For Problems 17-30, solve each inequality and...Ch. 2.7 - For Problems 17-30, solve each inequality and...Ch. 2.7 - For Problems 17-30, solve each inequality and...Ch. 2.7 - For Problems 17-30, solve each inequality and...Ch. 2.7 - For Problems 17-30, solve each inequality and...Ch. 2.7 - For Problems 17-30, solve each inequality and...Ch. 2.7 - For Problems 17-30, solve each inequality and...Ch. 2.7 - For Problems 17-30, solve each inequality and...Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 55-64, solve each equation and...Ch. 2.7 - For Problems 55-64, solve each equation and...Ch. 2.7 - For Problems 55-64, solve each equation and...Ch. 2.7 - For Problems 55-64, solve each equation and...Ch. 2.7 - For Problems 55-64, solve each equation and...Ch. 2.7 - For Problems 55-64, solve each equation and...Ch. 2.7 - For Problems 55-64, solve each equation and...Ch. 2.7 - For Problems 55-64, solve each equation and...Ch. 2.7 - For Problems 55-64, solve each equation and...Ch. 2.7 - For Problems 55-64, solve each equation and...Ch. 2.7 - Explain how you would solve the inequality 2x+5-3Ch. 2.7 - Why is 2 the only solution for x-20?Ch. 2.7 - Explain how you would solve the equation 2x-3=0.Ch. 2.7 - Consider the equation x=|y|. 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This equation will be...Ch. 2.7 - Use the definition of absolute value to help prove...Ch. 2.7 - Use the definition of absolute value to help prove...Ch. 2.7 - Use the definition of absolute value to help prove...Ch. 2.S - Solve 6-x+2=54x-2.Ch. 2.S - Solve x3-35=x15.Ch. 2.S - Solve 0.75x-2+0.45x=0.9.Ch. 2.S - Two sides of a triangle are equal in length, and...Ch. 2.S - A clothing store has a coat that originally sold...Ch. 2.S - Solve i=Prt for t given that P=600, r = 2, and i =...Ch. 2.S - Solve P=2l+2w for l.Ch. 2.S - What interest rate would you need to get to double...Ch. 2.S - Express the solution set for x5 in interval...Ch. 2.S - Solve 3x-5x+715.Ch. 2.S - Solve x-32-x-25310.Ch. 2.S - Solve the compound statement x-32 and x-12.Ch. 2.S - Kayla was playing in a 4-game basketball...Ch. 2.S - Solve 3x+7=16.Ch. 2.S - Solve x-810.Ch. 2.CR - Review problem set For Problem 1-28, determine if...Ch. 2.CR - Review Problem Set For Problem 1-28, determine if...Ch. 2.CR - Review Problem Set For Problem 1-28, determine if...Ch. 2.CR - 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Review Problem Set Solve each of Problems 29-42 by...Ch. 2.CR - Review Problem Set Solve each of Problems 29-42 by...Ch. 2.CR - Review Problem Set Solve each of Problems 29-42 by...Ch. 2.CR - Review Problem Set Solve each of Problems 29-42 by...Ch. 2.CR - Review Problem Set Solve each of Problems 29-42 by...Ch. 2.CR - Review Problem Set Solve each of Problems 29-42 by...Ch. 2.CR - Review Problem Set Solve each of Problems 29-42 by...Ch. 2.CR - Review Problem Set For Problems 43-49, solve each...Ch. 2.CR - Review Problem Set For Problems 43-47, solve each...Ch. 2.CR - Review Problem Set For Problems 43-47, solve each...Ch. 2.CR - Review Problem Set For Problems 43-47, solve each...Ch. 2.CR - Review Problem Set For Problems 43-47, solve each...Ch. 2.CR - Review Problem Set For Problems 48-52, solve each...Ch. 2.CR - Review Problem Set For Problems 48-52, solve each...Ch. 2.CR - Review Problem Set For Problems 48-52, solve each...Ch. 2.CR - Review Problem Set For Problems 48-52, solve each...Ch. 2.CR - Review Problem Set For Problems 48-52, solve each...Ch. 2.CR - Review Problem Set How many pints of a 1 hydrogen...Ch. 2.CR - Review Problem Set Gladys leaves a town driving at...Ch. 2.CR - Review Problem Set In 114 hours more time, Rita,...Ch. 2.CR - Review Problem Set How many cups of orange juice...Ch. 2.CR - Review Problem Set For Problems 57-60, express the...Ch. 2.CR - Review Problem Set For Problems 57-60, express the...Ch. 2.CR - Review Problem Set For Problems 57-60, express the...Ch. 2.CR - Review Problem Set For Problems 57-60, express the...Ch. 2.CR - Review Problem Set For Problems 61-70, solve each...Ch. 2.CR - Review Problem Set For Problems 61-70, solve each...Ch. 2.CR - Review Problem Set For Problems 61-70, solve each...Ch. 2.CR - Review Problem Set For Problems 61-70, solve each...Ch. 2.CR - Review Problem Set For Problems 61-70, solve each...Ch. 2.CR - Review Problem Set For Problems 61-70, solve each...Ch. 2.CR - Review Problem Set For Problems 61-70, solve each...Ch. 2.CR - Review Problem Set For Problems 61-70, solve each...Ch. 2.CR - Review Problem Set For Problems 61-70, solve each...Ch. 2.CR - Review Problem Set For Problems 61-70, solve each...Ch. 2.CR - Review Problem Set For Problems 71-78, graph the...Ch. 2.CR - Review Problem Set For Problems 71-78, graph the...Ch. 2.CR - Review Problem Set For Problems 71-78, graph the...Ch. 2.CR - Review Problem Set For Problems 71-78, graph the...Ch. 2.CR - Review Problem Set For Problems 71-78, graph the...Ch. 2.CR - Review Problem Set For Problems 71-78, graph the...Ch. 2.CR - Review Problem Set For Problems 71-78, graph the...Ch. 2.CR - Review Problem Set For Problems 71-78, graph the...Ch. 2.CR - Review Problem Set Susans average score for her...Ch. 2.CR - Review Problem Set Marci invests 3000 at 6 yearly...Ch. 2.CR - Review Problem Set For Problems 81-84, solve each...Ch. 2.CR - Review Problem Set For Problems 81-84, solve each...Ch. 2.CR - Review Problem Set For Problems 81-84, solve each...Ch. 2.CR - Review Problem Set For Problems 81-84, solve each...Ch. 2.CR - Review Problem Set For Problems 85-88, solve each...Ch. 2.CR - Review Problem Set For Problems 85-88, solve each...Ch. 2.CR - Review Problem Set For Problems 85-88, solve each...Ch. 2.CR - Review Problem Set For Problems 85-88, solve each...Ch. 2.CT - For problems 1-10, solve each equation. 5x2=2x11Ch. 2.CT - For problems 1-10, solve each equation....Ch. 2.CT - For problems 1-10, solve each equation....Ch. 2.CT - For problems 1-10, solve each equation....Ch. 2.CT - For problems 1-10, solve each equation. 3t24=5t+15Ch. 2.CT - For problems 1-10, solve each equation....Ch. 2.CT - For problems 1-10, solve each equation. 4x3=9Ch. 2.CT - For problems 1-10, solve each equation....Ch. 2.CT - For problems 1-10, solve each equation. 23x15=4Ch. 2.CT - For problems 1-10, solve each equation....Ch. 2.CT - Solve 23x34y=2 for yCh. 2.CT - Solve S=2r(r+h) for h.Ch. 2.CT - For problems 13-20, solve each inequality and...Ch. 2.CT - For problems 13-20, solve each inequality and...Ch. 2.CT - For problems 13-20, solve each inequality and...Ch. 2.CT - 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For problems 3-9, simplify each numerical...Ch. 2.CM - For problems 3-9, simplify each numerical...Ch. 2.CM - For problems 10-12, simplify each algebraic...Ch. 2.CM - For problems 10-12, simplify each algebraic...Ch. 2.CM - For problems 10-12, simplify each algebraic...Ch. 2.CM - For problems 13-15, evaluate each algebraic...Ch. 2.CM - For problems 13-15, evaluate each algebraic...Ch. 2.CM - For problems 13-15, evaluate each algebraic...Ch. 2.CM - Translate the following sentence into an algebraix...Ch. 2.CM - For problems 17-23, solve each equation for x...Ch. 2.CM - For problems 17-23, solve each equation for x....Ch. 2.CM - For problems 17-23, solve each equation for x...Ch. 2.CM - For problems 17-23, solve each equation for x...Ch. 2.CM - For problems 17-23, solve each equation for x....Ch. 2.CM - For problems 17-23, solve each equation for x....Ch. 2.CM - For problems 17-23, solve each equation for x....Ch. 2.CM - For problems 24-38, solve each inequality,...Ch. 2.CM - For problems 24-38, solve each inequality,...Ch. 2.CM - For problems 24-38, solve each inequality,...Ch. 2.CM - For problems 24-38, solve each inequality,...Ch. 2.CM - For problems 24-38, solve each inequality,...Ch. 2.CM - Solve each Problems 29-36 by setting up and...Ch. 2.CM - Solve each Problems 29-36 by setting up and...Ch. 2.CM - Solve each problem 29-36 by setting up and solving...Ch. 2.CM - Solve each problem 29-36 by setting up and solving...Ch. 2.CM - Solve each problem 29-36 by setting up and solving...Ch. 2.CM - Solve each Problems 29-36 by setting up and...Ch. 2.CM - Solve each Problems 29-36 by setting up and...Ch. 2.CM - Solve each problem 29-36 by setting up and solving...

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