Solve the inequality Express your answer in interval form If

Solve the inequality. Express your answer in interval form. (If there is not solution, enter NO SOLUTION.) |5x - 8| lessthanorequalto 7 Solve the inequality. Express your answer in interval form. (If there is no solution, enter NO SOLUTION.) |7x + 7| > 15 Solve the inequality. Express your answer in interval form. (If there is no solution, enter NO SOLUTION.) 6

Solution

1. |5x-8|<=7

-7<=5x-8<=7

-7+8<=5x-8+8<=7+8

1<=5x<=15

1/5<=5x/5<=15/5

1/5<=x<=3

0.2<=x<=3

in interval notation [0.2,3]

2. |7x+7|>15

7x+7<-15 or 7x+7>15

7x+7-7<-15-7 or 7x+7-7>15-7

7x<-22 or 7x>8

x<-22/7 or x>8/7

in interval notation (-inf,-22/7)or (8/7,inf)

3. 6<|2x-8|<=8

6<|2x-8| and |2x-8|<=8

2x-8<-6 or 2x-8>6 and -8<=2x-8<=8

2x-8+8<-6+8 or 2x-8+8>6+8 and -8+8<2x-8+8<=8+8

2x<2 or 2x>14 and 0<=2x<=16

x<1 or x>7 and 0<=x<=8

there is no solution.