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10th Edition

Jerome E. Kaufmann + 1 other

Publisher: Cengage Learning

ISBN: 9781285195728

Chapter 2.5, Problem 23PS

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)

**
**

To determine

**To find:**

The solution set of the inequality

**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

The parentheses at

The solution set of inequality

The square bracket at

**Calculation:**

The given inequality is

Let’s subtract

Intermediate Algebra

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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 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 - 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