# GMAT Quant Inequalities

Practice Questions in Inequalities

Inequalities is an important topic and one can expect questions in inequalities in the quantitative reasoning section of the GMAT exam. Questions in inequalities appear in both variants - data sufficiency and problem solving. Inequalities, data sufficiency, indices, and absolute value is a potent combination.

A collection of GMAT practice questions in inequalities is given below. Attempt these questions and check whether you have got the correct answer. If you could not solve the question, go to the explanatory answer or the video explanations (wherever provided) to learn how to crack the question.

1. If "x" is an integer, which of the following inequality(ies) have a finite range of values of "x" satisfying it(them)?

1. x2 + 5x + 6 > 0
2. |x + 2| > 4
3. 9x - 7 < 3x + 14
4. x2 - 4x + 3 < 0
5. (B) and (D)
2. What values of 'x' will be the solution to the inequality 15x - ${$frac{2}{x}}$ > 1? 1. x > 0.4 2. x < ${$frac{1}{3}}$ 3. ${-\frac {1} {3}}$ < x < 0.4, x > ${\frac {15} {2}}$ 4. ${-\frac {1} {3}}$ < x < 0, x > ${\frac {2} {5}}$ 5. x < ${-\frac {1} {3}}$ or x > ${\frac {2} {5}}$ 3. What is the smallest integer that satisfies the inequality ${\frac {x-3} {{{x}^{2}}-8x-20}}$ > 0? 1. -2 2. 10 3. 3 4. -1 5. 0 4. Data Sufficiency : Is a < b? 1. ab < ba 2. ${\frac{a}{b}}$ > 1 5. Data Sufficiency :Is | a | > | b |? 1. ${\frac {1} {$a-b$}}>{$frac {1} {$b-a)}}$
2. a + b < 0
6. Data Sufficiency :Is a3 > a2

1. ${$frac {1} {a}}$ > a 2. a5 > a3 7. Data Sufficiency :Is | a | > a? 1. a2 < a 2. $$left$ {{$frac {a} {2}}} \right$>$left$ {{\frac {2} {a}}} \right$$
8. Data Sufficiency :Is 'a' positive?

1. a - b > 0
2. 2a - b > 0
9. Data Sufficiency :Is an > bn?

1. a > b
2. ab < 0

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