1. 1.5 Solving Inequalities Honors Algebra II

3. Properties of Inequalities, page 34 Property Let a, b, and c represent real numbers.

4. ***If you multiply or divide by a negative number, FLIP the inequality sign!*** THE BIG REMINDER!

5. Solving Inequalities Example Solve -5[2 – (1 + b)] ≥ 25 + 7(2b – 3)

6. Solving Inequalities Example CHECK: -5[2 – (1 + b)] ≥ 25 + 7(2b – 3)

7. Solving Inequalities – Special Case Example: Solve 2x – 3 > 2(x – 5)

8. Solving Inequalities – Special Case Example: Solve 7x + 6 < 7(x – 4)

9. Compound Inequalities More than one restriction on the variable. Joined by AND or OR And  Intersection  BOTH parts must be true  looking for overlap Or  Union  EITHER part must be true  no overlap is needed

10. Compound Inequalities AND Solve 3x – 1 > -28 and 2x + 7 < 19

11. Exceptions Solve 3x + 6 9

12. Compound Inequalities OR Solve 4y – 2 ≥ 14 or 3y – 4 ≤ -13

13. Exceptions 2x + 3 ≥ 5 or 3x – 9 < 6