8.7 Solving Inequalities

8.7 Solving Inequalities

Addition Property of InequalitiesIf a < b, then a + c < b + cThe same is true for >, , and Subtraction Property of InequalitiesIf a < b, then a - c < b - cEx 1: Solve for x and graph:x - 3 > 4+3+3X > 7-4 -80 84Ex 2: Solve for x and graph:8z + 6 7z 16Z + 6 16-6z 10-4 -80 84-6Ex 3: Solve:

Multiplication and Division Property of Inequalities When c is positive,if a > b, then a c > b c

When c is negative,if a > b, then a c < b c

Ex 4 Solve and graph-3y 12y -4-2-6-40642-3-3Ex 5: Solve and Graph.3y -15y -5-2-6-40642Ex 6: Solve

Multi- Step Inequalities Solve the same way as an equation:1.) combine like terms2.) Use Add/sub Prop of =3.) Use Mult/ Div. Prop of =Example7:6 + 5y > 21 -6 + 6 + 5y > -6 + 21 5y > 15y > 3

7x + 4 4x + 16-2-6-40642x 4

-4x-4x3x + 4 16-4-4 3x 1233Example 8 : Solve and Graph17 5y < 8y - 9-2-6-40642y > 2-8y-8y17 13y < -9-17-17-13y < -26 -13-13Flip the inequality since we divided by a negative number!Example 9: Solve and GraphHomeworkPage 371 (12-52) even