Question

Which is the solution set of the compound inequality 3.5x-10>-3 and 8x-9<39?

A) -2 B) -2 C) 2 D) 2

Answer 1

Solve the two inequalities.
3.5x-10>-3
3.5x>7
x>2

8x-9<39
8x<48
x<6

Hope it helped!

Answer 2

The solution set of the given compound inequality is x ∈ (2 , 6)

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)