Answer:
[tex]1<x<3[/tex]
Step-by-step explanation:
Given
[tex](x +1 <4)\ n\ (X-8 >-7)[/tex]
Required
Solve
To start with, we need to solve the inequalities as separate entities
[tex](x +1 <4)\ n\ (X-8 >-7)[/tex]
[tex]x +1 <4[/tex]
Subtract 1 from both sides
[tex]x +1 -1 <4 -1[/tex]
[tex]x <4 -1[/tex]
[tex]x<3[/tex]
[tex]x-8 >-7[/tex]
Add 8 t both sides
[tex]x-8+8 >-7+8[/tex]
[tex]x >-7+8[/tex]
[tex]x >1[/tex]
[tex](x +1 <4)\ n\ (X-8 >-7)[/tex] becomes
[tex]x < 3\ n\ x>1[/tex]
This means that x is less than 3 and greater than 1;
In other words, x is 2
The expression [tex]x < 3\ n\ x>1[/tex] can be rewritten as
[tex]x < 3\ n\ 1<x[/tex]
Combining these results; we have
[tex]1<x<3[/tex]
