Answer:
The solution set of the given compound inequality is x ∈ (2 , 6)
Step-by-step explanation:
The inequalities are given to be : 3.5x - 10 > -3 and 8x - 9 < 39
First take : 3.5x - 10 > -3
Adding 10 on both the sides
⇒ 3.5x - 10 + 10 > -3 + 10
⇒ 3.5x > 7
Now, dividing by 3.5 both the sides
⇒ x > 2
Now, 8x - 9 < 39
Adding 9 on both the sides
⇒ 8x - 9 + 9 < 39 + 9
⇒ 8x < 48
Now, dividing by 8 on both the sides
⇒ x < 6
Thus, The solution set of the given compound inequality is x ∈ (2 , 6)
