Solve (x + 1 < 4) ∩ (x - 8 > -7).

Question

asked May 14, 2020 48.6k views

2 Answers

Amitsharma · Answer 1 · 2020-05-20T23:56:05+0000

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)

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