SOLUTION: Please solve. |7X - 14| < 7 I tried and got X < 3 or X > 1

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Question 78678: Please solve. |7X - 14| < 7
I tried and got X < 3 or X > 1
Answer by tutor_paul(427) About Me  (Show Source):
You can put this solution on YOUR website!
When solving these absolute value inequalties, first realize that there are two
inequalities involved... one for +(7x-14) and one for -(7x-14). So attacking the first inequality, we get:
7x-14%3C7
7x%3C21
x%3C3
Now, the second inequality:
-%287x-14%29%3C7
-7x%2B14%3C7
-7x%3C-7
-x%3C1
x%3E1 Don't forget to swap the inequality sign when multiplying by -1
So looks like you got it right :-)

Good Luck,
tutor_paul@yahoo.com