Sangeetha Pulapaka

An inequality is a mathematical statement that compares two expressions using an inequality sign. In an inequality, one expression of the inequality can be greater or less than the other expression. Special symbols are used in these statements.

The important thing about inequalities is that there can be multiple solutions.

You can solve most inequalities using the same methods as those for solving equations. Inverse operations can be used to solve inequalities. This is because when you add or subtract the same value from both sides of an inequality, you have maintained the inequality.

Addition and Subtraction Properties of Inequality

If a > b, then a + c > b c

If a > b, then a − c > b − c

 Solving an inequality with a variable that has a coefficient other than 1 usually involves multiplication or division.

Multiplication and Division Properties of Inequality


If a > b, then ac > bc, if c > 0

If a > b, then ac < bc, if c < 0


If a > b, then , if c > 0

If a > b, then , if c < 0

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