Question

Solve (x + 1 < 4) ∩ (x - 8 > -7).

Answer 1

1 < x < 3 because

( x < 3 ) intersecting ( x > 1)

Answer 2

For this case we must find the intersection of the following inequations:

`x + 1 <4\\x-8> -7`

So:

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

All values of "x" less than 3.

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

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.

`(1 <x <3)`

ANswer:
`(1 <x <3)`