SOLUTION: I am stuck on these two one-variable compound inequalities: #1. -10 < -2 + 8x < 22 & #2. 4x + 7 < 11 or 1 – x &#8804; -2 I need to also show the solution sets written al

Algebra ->  Inequalities -> SOLUTION: I am stuck on these two one-variable compound inequalities: #1. -10 < -2 + 8x < 22 & #2. 4x + 7 < 11 or 1 – x &#8804; -2 I need to also show the solution sets written al      Log On


   



Question 840409: I am stuck on these two one-variable compound inequalities:
#1. -10 < -2 + 8x < 22 &
#2. 4x + 7 < 11 or 1 – x ≤ -2
I need to also show the solution sets written algebraically and as a union or intersection of intervals. Also, describe in words what the solution sets mean, and then display a simple line graph for each solution set.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
-10+%3C+-2+%2B+8x+%3C+22+
-8+%3C++8x+%3C+24+ Add 2 to both sides
-1+%3C+x+%3C+3 Divide by 3
(-1,3)
.
.
.
4x%2B7%3C11
4x%3C4
x%3C1
(-infinity,1)