SOLUTION: Solve |3x - 4| < 10

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Question 312432: Solve |3x - 4| < 10
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

|3x - 4| < 10

That says 3x - 4 is between -10 and +10,

but not inclusive of either -10 or +10 since the symbols
of inequality are < and not <

And that is the same thing as saying:

-10 < 3x - 4 < 10

Add 4 to all three sides to get 3x alone in the middle

-10 < 3x - 4 < 10
 +4      + 4   +4 
-----------------
 -6 < 3x     < 14

Divide all three sides by 3 to solve for x in the middle:

%28-6%29%2F3 < %283x%29%2F3 < 14%2F3

       -2 < x < 14%2F3

Or in interval notation (-2,14%2F3)

Edwin