An inequality compares two expressions that are not necessarily equal, using symbols like less than, greater than, or their inclusive versions. Solving one works like an equation, except that multiplying or dividing by a negative flips the sign.

Math Dictionary / Inequality

Inequality

An inequality compares values using symbols such as <, >, <=, or >=.

AlgebraGrade 6Grade 7Grade 8Algebra 1GEDSATACT

What it means

Instead of saying two expressions are equal, an inequality says one is greater, less, or at least/at most another.

Also called: comparison statement

Examples

x > 5
3y <= 12
-2 < 4

Common mistake

When multiplying or dividing by a negative number, reverse the inequality sign.

Try one

Question: Solve 2x < 10.

Show answer

x < 5.

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