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

1 Answer
Mar 31, 2016

Answer:

You have to first isolate the absolute value.

Explanation:

#|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!