How do you solve #abs(1/2x-3)=2#?

Question

1457 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-03T07:54:17

See explanation.

First we have to change the equation with absolute value to a set of 2 equations without absolute value.

#|1/2x-3|=2#

is equivalent to:

#1/2x-3=2 vv 1/2x-3=-2#

Now we can solve the both equations:

#1/2x=5 vv 1/2x=1#

#x=10 vv x=2 #