SOLUTION: Solve the inequality. |3-x|-4|x+2|<2

Algebra ->  Linear-equations -> SOLUTION: Solve the inequality. |3-x|-4|x+2|<2      Log On


   

Question 1177595: Solve the inequality.
|3-x|-4|x+2|<2
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39613) About Me  (Show Source):
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

abs%283-x%29-4%2Aabs%28x%2B2%29+%3C+2
%283-x%29-4%28x%2B2%29+%3C+2
3-x-4x-8+%3C+2
-5x-5+%3C+2
-2-5+%3C+5x
5x%3E-7
x%3E-7%2F5
or
-%283-x%29-4%28-%28x%2B2%29%29+%3C+2
-3%2Bx-4%28-x-2%29+%3C+2
-3%2Bx%2B4x%2B8+%3C+2
5x%2B5+%3C+2
5x+%3C+2-5
5x+%3C+-3
x+%3C+-3%2F5
Real solutions:
x%3E-7%2F5
x+%3C+-3%2F5
MSP563120gg4a84f44h8d0h00001ahbe4233f077c8i

Interval notation:
(-7%2F5, infinity)
(-infinity,+-3)
MSP3311afe3g185h4ea8e800001hd15g1a938i89b0