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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