Question

Solve the compound inequality. Graph your solution. 2x – 2 < –12 or 2x + 3 > 7 x < –5 or x > 5 x < –5 or x > 2 x < –12 or x > 2 x < –7 or x > 5

Answer 1

X<-5 or X>2

Explanation:

Answer 2

The solution region is x < –5 and x > 2

Explanation:

We are given the inequalities, 2x–2 < –12 or 2x+3 > 7

Upon simplifying the inequalities, we get,

A.
`2x-2 < -12`

`2x-2 < -12` i.e.
`2x < -10` i.e.
`x < -5`

B.
`2x+3 > 7`

`2x+3 > 7` i.e.
`2x > 4` i.e.
`x > 2`

So, we get the solution is
`x<-5` or
`x>2` and the plotted region can be seen below.