Question

Solve for x:

4x-4<8 AND 9x+5>23
Choose 1 answer:
A: 2 3

C: There are no solutions

D: All values of x are solutions

Answer 1

2<x<3

Explanation:

4x-4<8 AND 9x+5>23

Solve the first inequality

4x-4<8

Add 4 to each side

4x-4+4 <8+4

4x<12

Divide by 4

4x/4 <12/4

x <3

Solve the second inequality

9x+5>23

Subtract 5 from each side

9x+5-5>23-5

9x >18

Divide by 9

9x/9>18/9

x>2

Put together

x<3 and x>2

2<x<3