SOLUTION: I am trying to find the solution for the following inequality containing absolute values: |7-x| <6 Thank you.

Question 269423: I am trying to find the solution for the following inequality containing absolute values:
|7-x| <6
Thank you.
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
here is the problem:
(i)
we have to split and solve:
first 7-x < 6
second 7-x > - 6
---
step 1 - solve first equation to get
(ii)
step 2 - subtract 7 to get
(iii)
step 3 - divide by -1 to get
(iv)
---
step 4 - solve second equation to get
(v)
step 2 - subtract 7 to get
(vi)
step 3 - divide by -1 to get
(vii)
----
so
1 < x < 13.
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