What is the solution to the inequality #absx < 5#?

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Answer 1 · 2015-08-15T12:54:43

#x<5#
#x> -5#

#abs(x)<5#

Since #absx# can be #x# or #-x#, we have two inequalities.

#x<5# and #-x<5#

Positive Inequality

#x<5# (needs no further simplification)

Negative inequality

#-x<5#

Multiply both sides by #-1#.

#x> -5#