Question

Solve #13, please show all work!

Answer 1

-2 < r < 5/3

Explanation:

7 - 9|6r + 1| > -92

9|6r + 1| < 7 + 92

|6r + 1| < 11

6r + 1 < 11

6r < 10

r < 5/3

-6r - 1 < 11

-6r < 12

r > -2

-2 < r < 5/3

Answer 2

7 - 9 |6r + 1| > -92

-2|6r+1|>-92

-12r-2>-92

+2 +2

-12r > -90

-12 -12

r < 7.5. because we divided by -12, the inequality sign must be changed.