Set Builder form: I = { x|x is a real number that is a solution to the equation x2 = 25 } What is the Roster form?

Q: Solve the inequality: 21 Iar-

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Q: Solve the inequalities , expressing the solution sets as intervals or unions of intervals. Also,…

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Q: Solve the inequalities , expressing the solution sets as intervals or unions of intervals. Also,…

A: Given inequality, |3y-7|<4 Removing modulus results into the inequality,  -4 < 3y-7 < 4

Q: Solve the compound inequality. 3x +2 > 2x–3>0-1l Enter the exact answer in interval notation. To…

A: We can solve the given compound inequality as below.

Q: 13) Find and graph the solution set: (x- 1)(x+ 2) <0

A: Given that  (x - 1)(x + 2)&lt; 0

Q: Solve this inequalities(solutions in graph and interval notation): 2|2x - 7| - 4 ≥ 14

A: Given information: 22x-7-4≥14

Q: For Exercise, solve the equations and inequalities. Write the solution sets to the inequalities in…

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Q: solve the inequality and graph the solution set. write the solution set in (a) set-builder notation…

A: Explained below

Q: (b) With domain of discourse as the real numbers, determine if the following state- ment is true or…

A: We will answer the first question only as we don't answer multiple questions at a time. Please…

Q: Write the solution set in interval notation and graph the inequality. Set-Builder Notation: {x|x2-2}…

A: Write the given solution set in interval notation. x|x≥-2=[-2,∞)

Q: Determine whether the statement is true or false. If the statement is false, make the necessary…

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Q: Find and graph the solution set: x2 s 25

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Q: 1: Solve the inequalities and show the solution set on the real line : -1> } or – ( – 1) >} 1- (x –…

A: As per our company guidelines we are supposed to answer only first three sub-parts. Kindly repost…

Q: Solve for x and graph the solution on the number line below. -3x + 10 < -2 and -17 < -3x + 10 or…

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Q: Solve the inequalities , expressing the solution sets as intervals or unions of intervals. Also,…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: describe solution set x1-5x2+2x3=-1 algebraically and geometrically (1  -5  2  |  -1) ....toREF!…

A: Given: Equation is x1-5x2+2x3=-1. To find: We have to describe solution set x1-5x2+2x3=-1…

Q: Solve and then write the algebraic proof 1.) 2(x- 1) + 3x = 3(2x + 5)

A: Authoring Guidelines: As per the authoring guidelines, we can solve only the first question. Kindly…

Q: Discuss three symbolic methods for solving a qua- dratic equation. Make up a quadratic equation and…

A: Three ways of solving a quadratic equation - 1. Using Quadratic Formula2. By Factorization3. By…

Q: Solve the inequality. Sketch the solution on the real number line and express the solution in…

A: The given inequality is x+12≥2. Solve this inequality  as follows.

Q: For Exercise, solve the equations and inequalities. Write the solution sets to the inequalities in…

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Q: (a) Explain why |x| p, for p < 0

A: (a) The absolute value of a non-zero real number x is always positive value of x, i.e.,  x&gt;0 Also…

Q: Solve the following compound inequality. Write the solution in set-builder notation. 5-2xs11 and…

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Q: using a graphing calculator or computer algebra system. How many solutions does x 3 - 4x + 8 = 0…

A: The given equation is x3-4x+8=0

Q: olve and graph the solution set. (x − 7)(x + 2) > 0

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Q: Use interval notation to express the solution set and graph the solution set on a number line. -3x2…

A: We have to find

Q: For Exercise, solve the equations and inequalities. Write the solution sets to the inequalities in…

A: Given: The equation

Q: Express your answer three ways: 1) as inequalities, 2) as intervals, and 3) as graphs on the real…

A: We have to find  [ 2, 13) − [ 0, 4 ].

Q: Exercises 53–56: Use the graph of y = ax + b at the top of the next column to solve each equation…

A: Topic = Equations

Q: Use interval notation to express solution sets and graph solution set on a number line. Solve…

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Q: Use interval notation to express solution sets and graph solution set on a number line.Solve  linear…

A: Given that : 5[3(2-3x)-2(5-x)]-6[5(x-2)-2(4x-3)]&lt;3x+19

Q: Solve the inequality and graph the solution set. Write the solution set in (a) set-builder notation…

A: Given inequality is -34z-4&gt;-1

Q: Solve and give interval notation for the solution set. Then graph the solution set. -6x + 12 13 or…

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Q: Solve the inequalities by interpreting the inequalities as a statement about dis- tances on the real…

A: x+1 shows distance from x to -1 (x+1 = 0, x=-1) and x-3shows distance from x to 3 (x-3=0,x=3).…

Q: Solve the inequalities and show the sol ution sets on the real line. 2x 7 2 7x + - 2) <r - 6) 4 5 (x…

A: 1. 2x-12≥7x+76⇒2x-12+12≥7x+76+12    Adding 12 on both sides⇒2x≥7x+53⇒2x-7x≥7x+53-7x…

Q: Solve the equation. (If all real numbers are solutions, enter REALS. If there is no solution, enter…

A: Given, The equation  6x-5-4x+3 = -1   We have to solve the equation

Q: Solve the inequalities , expressing the solution sets as intervals or unions of intervals. Also,…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: For Exercise, solve the equations and inequalities. Write the solutions to the inequalities in…

A: Given inequality is Multiplying both sides by 4, we get Now, multiplying both sides by -1 and…

Q: . Find the solution set to |

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Q: Consider the equation (x-a)^2 - b = 0, where a and b are both positive real numbers. Write a…

A: the equation (x-a)^2 - b = 0, where a and b are both positive real numbers. Write a statement about…

Q: 4-4 0

A: To solve the inequalities

Q: Write the solution set in interval notation. 4x < 28 The solution set is x<7 (Type your answer in…

A: Given 4x&lt;28

Q: Determine whether the ordered pair is a solution of the inequality. 3y-4x 2, (5,11) Is the ordered…

A: In order to check the order pair (5,11) is a solution of the given inequality, simply put the value…

Q: Inequality corresponding to the statement : x is less than 30 and at least 14.

A: To write the inequality corresponding to the given statement.

Q: Fill in the blank(s) to correctly complete each sentence. There is no factoring pattern for…

A: For the given statement

Q: Solve the inequality. Use interval notation to express solution sets and graph the solution set on a…

A: We have to solve the inequality: -6x+3≤15 Subtracting 3 both sides, we get -6x+3-3≤15-3-6x≤12…

Q: QI) Solve the following inequalities and show their solution sets on the real line. 2)5x -3s7- 3x

A: (1) We know that x-a&gt;m can also be written as  x-a&lt;-m or x-a&gt;m

Q: Q2// Solve the inequality and show the solution sets on the real line х-1 and by intervals.

A: Given inequality :                                  3x-1&gt;-2x       Solving by multiplying both…

Q: Find the solution set for the inequation (-2-3) < -1 (you may express your answer interval notation…

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Q: Solve the inequality and graph the solution set. Write the solution set in (a) set-builder notation…

A: Consider the given inequality -34z-4&gt;-1. Solve the given inequality for z as follows.…

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.