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

Answer:

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

Step-by-step 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 $x$ or $x>2$ and the plotted region can be seen below.