SOLUTION: solve the inequality give the solution using interval notation {{{abs(5-3x)<=7}}}

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Question 261345: solve the inequality give the solution using interval notation
abs%285-3x%29%3C=7
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
abs%285-3x%29%3C=7

To remove the absolute value bars that becomes

-7%3C=5-3x%3C=7

Add -5 to all three sides:

-7-5%3C=5-3x-5%3C=7-5

-12%3C=-3x%3C=2

Divide through by -3 which reverses both inequality
symbols:

4%3E=x%3E=2

That is equivalent to

2%3C=x%3C=4

This is the graph

---------------------@=======@--------
-3  -2  -1   0   1   2   3   4   5   6

and the interval notation is [2,4]

Edwin