# Finding The Solution To An Inequality With Multiplication

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

Solving inequalities using multiplication involves watching for negative numbers. When we multiply both sides by a negative number we must change the direction of the inequality sign.

Start Quiz

Quantitative Comparison x>0 Column A: 5x Column B: 5/x

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

If –1 < n < 1, all of the following could be true EXCEPT:

n^2 < 2n 16n^2 - 1 = 0 |n^2 - 1| > 1 (n-1)^2 > n n^2 < n

(√(8) / -x ) <  2. Which of the following values could be x?

-1 All of the answers choices are valid. -2 -3 -4

Solve for x
3x+7 >=-2x+4

x <= -3/5

x >= 3/5

x <= 3/5

x >= -3/5

We have x^2−4<0, find the solution set for this inequality.

−2 < x < 2

x > 2, x < −2

x > −2

x = 0

x < 2

Solve the inequality 2(x−1) > 3(2x+3).

x > −11/4

x > −4/11

x < 4

x < −4/11

x < −11/4

Fill in the circle with either <, >, or = symbols:

(x−3)∘(x^2−9)/(x+3)for x≥3.

(x−3) = (x^2−9)/(x+3)

(x−3) > (x^2−9)/(x+3)

The rational expression is undefined.

(x−3) < (x^2−9)/(x+3)

None of the other answers are correct.

Solve the inequality 6(x−1)<7(3−x).

x < 12/7

x < 27/13

x > 13/27

x > -11/17

x > -13/27

Quiz/Test Summary
Title: Finding The Solution To An Inequality With Multiplication
Questions: 8
Contributed by: