Question

Solve (x + 2<5) n (x-7>-6).
{x11 {x1x < 3 or x> 1)
{all real numbers)

Answer 1

For this case we must solve $x + 2 <5$intersected with $x-7> -6$

So, we have:

$x + 2 <5\\x <5-2\\x <3$

The solutions are given by all strict minor numbers to 3.

$x-7> -6\\x> -6 + 7\\x> 1$

The solutions are given by all the major strict numbers to 1.

If we intersect the solutions of both equations we have $x <3$ ∩ $x> 1$.

The intersection is given by $1 <x <3$

Answer:

 The solution interval is (1,3)