Question

10 POINTS

Solve the combined inequality:

6 -2x < 12 or 7 + 2x < -11

Answer 1

The first thing we must do in this case is to solve both inequations.
We have then:
Inequality 1:
6 -2x <12
6-12 <2x
-6 <2x
-6/2 <x
-3 <x
Inequality 2:
7 + 2x <-11
2x <-11-7
2x <-18
x <-18/2
x <-9
Answer:
(-inf, -9) U (-3, inf)