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GMAT > Math > Algebra > Inequality

GMAT Math Inequality Overview

An inequality is a statement such as "x is less than y" or "x is greater than or equal to y."

In addition to the symbols for add, subtract, multiply, and divide, mathematics also applies standard symbols to show how the two sides of an equation are related. You're probably pretty familiar with these symbols, but a little review never hurts. Below table gives you a rundown of the symbols you'll deal with on the GMAT.

Symbol Meaning
= Equal to
Not Equal to
Approximately equal to
> Greater than
< Less than
Greater than or equal to
Less than or equal to

For the most part, you treat inequalities a lot like equations. Isolate the variable to one side and perform the same operations on both sides of the inequality. The most important thing to remember when solving an inequality in GMAT Test is that the sign switches directions after multiplying by a negative number.

GMAT Math Inequality Example Question

Q. If x, y and z are positive integers, such that z > y, and x < z them which of the following must be true?

  1. x = y
  2. z > x > y
  3. y + z = 2x
  4. z > y > x
  5. Either x ≥ y or x ≤ y
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Ans: Either x ≥ y or x ≤ y - Option E

GMAT Algebra Topics

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Related Topics

GMAT Math Arithmetic | GMAT Math Algebra | GMAT Math Geometry | GMAT Math Data Sufficiency | GMAT Math Problem Solving

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