How do you graph and solve #2|x – 3| - 5 = 9#?

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Answer 1 · 2016-03-31T03:38:11

You have to first isolate the absolute value.

#|x - 3| = 7#

You must now consider two scenarios; the absolute value is positive or negative.

Positive:

#x - 3 = 7#

#x = 10#

Negative:

#-(x - 3) = 7#

#-x + 3 = 7#

#-x = 4#

#x = -4#

The solution set is #{x = 10, -4}#.

Hopefully this helps!