1. Goals:  Solve linear inequalities using multiplication and division  Use inequalities to solve real life problems. Eligible Content:  A1.1.3.1.2 / A1.1.3.1.3

2.  Get the variable alone just like we have been doing.  One new rule:  If you multiply or divide by a negative number, you must flip the inequality symbol. > becomes <

3. 3x ≥ 15 3 3 x ≥ 5

4. -4x < 16 -4 -4 x > -4 -10x ≥ -50 -10 -10 x ≤ 5 Sign flipped because I divided by a negative number!!

5. x ≤ -2 x < -4 x < -5 x ≤ -64

6. A.p < 4 B.p < 45 C.p < 75 D.p > 4 Solve 15p < 60.

7. A.z < 16 B.z < –16 C.z > –16 D.z > 16 Solve –4z > 64.

8. A. B. C.x < –30 D.x > –30

9.  Page 295 #2-9

10. Mateo is walking at a rate of 0.75 mile per hour. He knows that it is at least 9 miles to Onyx Lake. How long will it take Mateo to get there? 0.75x ≥ 9 x ≥ 12 At least 12 hours

12.  Page 295 #12-28 even #30-34