How do you solve #absx - 1 < 4#?

1 Answer
Alan P.
May 23, 2015

Given #abs(x) - 1 <4#

Since you can always add any amount to both sides of an inequality without effecting the orientation of the inequality, this is equivalent to
#abs(x) <5#

This means that either
Case 1: #x>=0# and #x <5#

or
Case 2: #x<0# and #x> -5#

Combining Case 1 and Case2, we have the solution set
#-5 < x < +5#

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