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. [tex]2x-2 < -12[/tex]
[tex]2x-2 < -12[/tex] i.e. [tex]2x < -10[/tex] i.e. [tex]x < -5[/tex]
B. [tex]2x+3 > 7[/tex]
[tex]2x+3 > 7[/tex] i.e. [tex]2x > 4[/tex] i.e. [tex]x > 2[/tex]
So, we get the solution is [tex]x<-5[/tex] or [tex]x>2[/tex] and the plotted region can be seen below.
