For this case we must find the intersection of the following inequations:
[tex]x + 1 <4\\x-8> -7[/tex]
So:
[tex]x + 1 <4\\x <4-1\\x <3[/tex]
All values of "x" less than 3.
[tex]x-8> -7\\x> -7 + 8\\x> 1[/tex]
All values of "x" greater than 1.
Thus, the intersection of the equations will be given by the values of "x" greater than 1 and less than 3.
[tex](1 <x <3)[/tex]
ANswer:[tex](1 <x <3)[/tex]
