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)