SOLUTION: what is solution for a)|x|>-2 b)|x|-2=-3

Question 109466: what is solution for
a)|x|>-2
b)|x|-2=-3
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
a)
Start with the given inequality
Since the absolute value of any number is always positive, this means . So this means the left side will always be greater than -2. So the solution set is

. Basically x can be any number.

b)

Start with the given equation

Add 2 to both sides.

Since the expression is never true (note: remember, the absolute value of any number is always positive), there are no solutions to

Also, notice if we graph and (just set each side equal to y and graph), we get:

Graph of (red) and (green)

and we can see that the two graphs never intersect. So there are no solutions.

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