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Subtraction Property of Inequality

Theory

Subtraction Property of Inequality

When rewriting inequalities using subtraction it's important to make the the same operation on both sides to ensure that the inequality still holds. So, if one side is subtracted by a number, the other side must be subtracted by the same number. In the inequality 8x+3=198x+3=19 both sides can be subtracted by 3.3. 8x+33<1938x<16 8x+3\,{\color{#FF0000}{-\,3}}<19\,{\color{#FF0000}{-\,3}} \quad \Leftrightarrow \quad 8x<16