Please help Solve the absolute value inequality. Write interval notation for the solution set.

Question

 please write interval notation for the solution set

 

| 7 – 5x | ≥ 15

 

Thank you much for your help

Answer 1

If l 7-5x l ≥ 15, then 7-5x ≥ 15 or 7-5x ≤ -15

 

                               -5x ≥ 8 or -5x ≤ -22

 

                                  x ≤ -8/5 or x ≥ 22/5

 

Solution set:  (-∞, -8/5] ∪ [22/5, ∞)