# Finding the Solution to an Inequality with Addition

This is an MCQ-based quiz for GRE on How To Find The Solution To An Inequality With Addition.

If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.

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Quantitative Comparison Quantity A: 3x + 4y Quantity B: 4x + 3y

Quantity A is greater. The relationship cannot be determined from the information given. The two quantities are equal. Quantity B is greater.

Let  be an integer such that |x|<1. Quantity A:  x^2          Quantity B: 0

The relationship cannot be determined from the information given. Quantity B is greater. Quantity A and Quantity B are equal. Quantity A is greater.

Find all solutions of the inequality 2x+3<5.

All x>2 All x<1 All x<2. All x>0 All x>1

What values of x make the following statement true? |x – 3| < 9

–12 < x < 6 –3 < x < 9 x < 12 –6 < x < 12 6 < x < 12

Find all solutions of the inequality 3x+13<x+21

All x<2

All x>2

All x>4

All x>3

All x<4

Solve for z.

|z−3|≥5

−2 ≤ z ≤ 8

z ≥ 8

z ≤ −3 or z ≥ 5

−3 ≤ z ≤ 5

z ≤ −2 or z ≥ 8

If x+1<4 and y−2<−1 , then which of the following could be the value of x+y?

8

4

12

16

0

What values of x make the statement |5x−9|≥6 true?

x ≥ 3, x ≤ 3/5

x ≥ 4, x ≤ −1/2

x ≥ 15, x ≤ 2/5

x ≥ 6, x ≤ 1/3

x ≥ 5, x ≤ 1/5

Quiz/Test Summary
Title: Finding the Solution to an Inequality with Addition
Questions: 8
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