Raymond B. answered • 04/23/23
Tutor
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Math, microeconomics or criminal justice
-|x|+3 <7 is same as -|x|+3 is not = or > 7
solve for |x|
-|x| < 7-3
-|x| < 4
|x| > -4
multiply by a negative number reverses the inequality sign
any value of x will make |x| >-4, as |x|=0 or |x|>0 and 0>-4
so the Domain is all real numbers
in interval notation x is an element of the interval (-infinity, +infinity)
or -infinity<x<+infinity
