Question

Solve (x +1 <4) n (X-8 >-7).
O x11 O {XIX<3 or x> 1}
O (all real numbers)

Answer 1

`1<x<3`

Explanation:

Given

`(x +1 <4)\ n\ (X-8 >-7)`

Required

Solve

To start with, we need to solve the inequalities as separate entities

`(x +1 <4)\ n\ (X-8 >-7)`

`x +1 <4`

Subtract 1 from both sides

`x +1 -1 <4 -1`

`x <4 -1`

`x<3`

`x-8 >-7`

Add 8 t both sides

`x-8+8 >-7+8`

`x >-7+8`

`x >1`

`(x +1 <4)\ n\ (X-8 >-7)` becomes

`x < 3\ n\ x>1`

This means that x is less than 3 and greater than 1;

In other words, x is 2

The expression
`x < 3\ n\ x>1` can be rewritten as

`x < 3\ n\ 1<x`

Combining these results; we have

`1<x<3`