Question

Solve (x + 2 < 5) (x - 7 > -6).

{x | -6 < x < 5}
{x | x < 3 or x > 1} <---
Ø <---

im a bit confused if it is the second one or the third one ):

Answer 1

Does the question mean
(x + 2 < 5) AND (x - 7 > -6)
or
(x + 2 < 5) OR (x - 7 > -6)?

Answer 2

or!

Answer 3

then you can simplify
(x + 2 < 5) or (x - 7 > -6)
to
x < 3 or x > 1
which is the middle choice.

btw, no matter what x you pick, it will always be one or the other (or both)
so that is the same -infinity < x < infinity