Question 166438: Solve the absolute value inequality. Other than Ø, use interval notation to express the solution set and graph the solution set on a number line.
|2y + 6/3 - 9| < 2
Answer by Personal Trainer DC(4)   (Show Source):
You can put this solution on YOUR website! Since it's an absolute value, you need to re-write the inequality considering the negative and positive side:
-2 < 2y + 6/3 - 9 < 2
Then, add 9 to both sides:
7 < 2y + 6/3 < 11
Then, subtract 6/3 (ie. 2) from both sides:
5 < 2y < 9
Then, divide by 2:
5/2 < y < 9/2
In interval notation, (5/2, 9/2)
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