How do you graph and solve #|2x – 3| – 6 = –1#?

1 Answer
Parabola
Dec 2, 2017

#-1=x=4#

Explanation:

When you have an absolute value equation, you isolate the absolute value before trying anything else.
# |2x-3|-6=-1# becomes
#|2x-3|=5#
We have to note that there are two solutions to absolute value equations, since #|-a|=a# and #|a|=a#
In other words, #2x-3=5# and #2x-3=-5# both give you the final answer of #|2x-3|=5#.
#2x-3=5#
#2x=8#
#x=4#

#2x-3=-5#
#2x=-2#
#x=-1#
When we plug in these values, we find out that they both work. Therefore, #-1=x=4#

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