Posted by Alex on Sunday, August 12, 2012 at 10:41pm.
The absolute value actually represents two cases, the contents are positive (in which case the absolute value does not do much), or if the contents are negative, then the negative sign is dropped.
Mathematically speaking, the above equation can be broken down to two:
x+3 < 0.01 ....(1)
and
-(x+3) < 0.01 ...(2)
Solving (1) gives us
x < 0.01-3 = 2.99, or
x<-2.99
Solving (2) gives us
-(x+3)<0.01
-x-3<0.01
x>-3-0.01=-3.01
So together, we have
x ∈ (-3.01,-2.99)
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