Question

Solve (x + 1 < 4) ∩ (x - 8 > -7).

Answer 1

`1<x<3`

Explanation:

Let simplify each of these inequalities individually and then look at where they intersect afterwards

`x+1<4\\\\x<3`

And

`x-8>-7\\\\x>1`

This means that for these two inequalities to intersect, x must be greater than 1, but less than 3.

This can be represented by the following inequality
`1<x<3`