SOLUTION: How do i solve : 4|3x-2|+6<7 ???

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Question 266654: How do i solve : 4|3x-2|+6<7 ???
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

4abs%283x-2%29%2B6%3C7

Isolate the absolute value

Add -6 to both sides:

4abs%283x-2%29%3C1

Divide both sides by 4

abs%283x-2%29%3C1%2F4

To remove the absolute value bars write

-1%2F4%3C3x-2%3C1%2F4

Multiple all three sides by 4 to clear of fractions

-1%3C12x-8%3C1

Add +8 to all three sides:

7%3C12x%3C9

Divide all three sides by 12

7%2F12%3Cx%3C9%2F12

Reduce fractions:

7%2F12%3Cx%3C3%2F4

Interval notation is (7%2F12,3%2F4)

Edwin