Step by step
The question
Question: solve |x − 2| + 6 = 1.
|x − 2| + 6 = 1
1 Get the bars alone
We want the bars by themselves.
The + 6 is in the way, so we take away 6 on both sides.
|x − 2| + 6 − 6 = 1 − 6
+ 6 and − 6 make zero.
Cross them out.
1 minus 6 is −5.
|x − 2| = −5
The bars give how far from 0.
A distance is never negative.
So −5 is impossible.
There is no solution.
| | is never negative
|x − 2| = −5 no solution
Answer
|x − 2| = −5 no solution