How do you solve 7abs(x + 3 ) = 42?

1 Answer
Alan P.
Jul 22, 2015

x=3 or x=-9

Explanation:

If 7abs(x+3) = 42
then abs(x+3) = 6
color(white)("XXXX")color(white)("XXXX")(after dividing both sides by 7)

If (x+3) < 0
then abs(x+3) = -x-3 = 6
color(white)("XXXX")rarr x = -9

if (x+3) >= 0
then abs(x+3) = x+3 = 6
color(white)("XXXX")rarr x= 3

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