What is an Inequality? Definition and Examples.

An inequality is a mathematical sentence between two quantities that are different or not equal.

To express an inequality, we use one of the following symbols

<  is less than

≤  is less than or equal to

>  is bigger than

≥  is bigger than or equal to 

≠ is not equal to

Examples of inequalities

88.9  > 88.2   ( 88.9 is bigger than 88.2 )

4 + 9 ≠ 4 + 8  ( 4 + 9 is not equal to 4 + 8)

-8 < -2  ( - 8 is smaller than -2)

12 + 3  ≥ 3  × 4 (12 + 3 is bigger than or equal to 3 × 4 )

2 ≤ 4  (2 is smaller than or equal to 4)

2x + 8  >   4

(1/2)x  ≤   -1