First you must expand them
-3 ≤ 6x - 6 < 39 (seperate into two inequalities)
6x - 9 ≥ -3
6x - 9 < 39 (solve the inequalities)
x ≥ 1
x < 8 (find the intersection)
x ∈ { 1 , 8 }
Answer: $15.75
Step-by-step explanation:
$78.75/5 hr=$15.75/hr
Remark
That was well worth doing. Desmos gave you the answer to the graph. Unfortunately I can only give you the correct graph. You will have to figure out from the choices which one is the correct answer -- or edit it so I can see what the rest of the question is.
Graph
The red one is f(x) is x + 3 {x <= -2}
The blue one is f(x) is x^2 - 1 {-2 <x <1} Notice the gap at 2. It is not continuous
The green one is f(x) is log_2(-x + 3) {1 <=x < 3} and there is a gap between the blue and green one.