Question 411237: Solve:
|a + 2| > -5
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Solve:
|a + 2| > -5
..
Since we do not know whether the expression, (a+2) is negative or positive,we must solve for a twice, once assuming the expression is positive, and a second time assuming it is negative.
For the positive,just remove the absolute bars and solve it like a regular inequality:
a+2>5
a>3
(3,infinity)
..
For the negative, remove the bars and put a negative sign to the expression:
-(a+2)>5
multiply both sides by -1 and reverse the inequality sign
a+2<-5
a<-7
(-infinity,-7)
solution:(-infinity,-7)union(3,infinity) (These are the intervals in which the values of a satisfies the original absolute value equation)
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