SOLUTION: -7 < x+2 < 4 I can't figure out any way I can solve this question. I've tried and tried again and can't figure it out... Please help

Algebra ->  Graphs -> SOLUTION: -7 < x+2 < 4 I can't figure out any way I can solve this question. I've tried and tried again and can't figure it out... Please help      Log On


   

Question 847407: -7 < x+2 < 4 I can't figure out any way I can solve this question. I've tried and tried again and can't figure it out... Please help
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Subtract 2 from ALL sides to completely isolate x

-7 < x+2 < 4

-7-2 < x+2-2 < 4-2

-9 < x+0 < 2 ... notice how 2-2 in the middle becomes 0

-9 < x < 2 ... that "0" goes away (when you add it onto x)


The final answer is -9 < x < 2

So this means that x is some number between -9 and 2. However, x is NOT equal to -9 and x is NOT equal to 2 (exclude both the endpoints).

Side Note: the graph (if needed) will be on a number line with open circles at -9 and 2. Shade in between and don't fill in the open circles.