Dynamic Activity

Linear Inequalities

Lesson Vocabulary

• equivalent inequalities

Take Note Key Concept: Addition Property of Inequality

Words

Let a, b, and c be real numbers.

If a > b , eh greater than b comma  then a + c > b + c . eh plus c greater than b plus c .

If a < b , eh less than b comma  then a + c < b + c . eh plus c less than b plus c .

This property is also true for ≥  and  ≤ . greater than or equal to , and , less than or equal to .

Examples

5 > 4 , 5 greater than 4 comma  so 5 + 3 > 4 + 3 . 5 plus 3 greater than 4 plus 3 .

− 2 < 0 , negative 2 less than 0 comma  so − 2 + 1 < 0 + 1 . negative 2 plus 1 less than 0 plus 1 .

Diagram

The diagram below illustrates one way to think about this rule.