GMAT Quant Questions  Inequalities
Inequalities is an important topic and you will get 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.
If "x" is an integer, which of the following inequalities have a finite range of values of "x" satisfying them?
 x^{2} + 5x + 6 > 0
 x + 2 > 4
 9x  7 < 3x + 14
 x^{2}  4x + 3 < 0
 (B) and (D)
 Correct AnswerChoice (D).
The solution to x^{2}  4x + 3 < 0 is a finite range. Correct answer  Explanatory Answer
 Linear and Quadratic inequalities
 Medium
What values of 'x' will be the solution to the inequality 15x  > 1?
 x > 0.4
 x <
  < x < 0.4, x >
  < x < 0, x >
 x <  or x >
 Correct AnswerChoice (D).
The values of x that satisfy the inequality are
Correct answer  Explanatory Answer
 Inequalities: Quadratic expression
 Easy
What is the smallest integer that satisfies the inequality > 0?
 2
 10
 3
 1
 0
 Correct AnswerChoice (D).
The smallest integer that satisfies the inequality is 1.
Correct answer  Explanatory Answer
 Inequalities : Quadratic expression
 Easy
Data Sufficiency: Is a < b?
 a^{b} < b^{a}
 > 1
 Correct AnswerChoice (E).
The two statements together are NOT sufficient. Correct answer  Explanatory Answer
 Inequalities in exponents
 Hard
Is  a  >  b ?
 a + b < 0
 Correct AnswerChoice (C).
The two statements together are SUFFICIENT to answer the question. Correct answer  Explanatory Answer
 Inequalities in absolute value
 Medium
Is a^{3} > a^{2}?
 > a
 a^{5} > a^{3}
 Correct AnswerChoice (A).
Statement 1 alone is sufficient; statement 2 is not. Correct answer  Explanatory Answer
 Inequalities in exponents
 Hard
 > a
Is  a  > a?
 a^{2} < a
 Correct AnswerChoice (A).
Statement 1 alone is sufficient; statement 2 is not. Correct answer  Explanatory Answer
 Exponents and absolute value
 Hard
Is 'a' positive?
 a  b > 0
 2a  b > 0
 Correct AnswerChoice (E).
The two statements together are NOT sufficient. Correct answer  Explanatory Answer
 Positive & negative numbers
 Medium
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