Question

Solve for x. 4x-39>-43 and 8x+31<23

Answer 1

No real solutions

Explanation:

4x - 39 > -43

4x > -4

x > -1

and

8x + 31 < 23

8x < -8

x < -1

And is the intersection, the common region.

There are no common values of x in:

x < -1 and x > -1

Hence, no solution

Answer 2

no solutions

Explanation:

4x-39>-43

Add 39 to each side

4x-39+39>-43+39

4x > -4

Divide each side by 4

4x/4 > -4/4

x >-1

8x+31<23

Subtract 31 from each side

8x+31-31<23-31

8x < -8

Divide each side by 8

8x/8 < -8/8

x < -1

Assuming that you have a system of inequalities, there is no overlap when x<-1 and x>-1 so there is no solution.