SOLUTION: Solve: | | 3x+7| | <6 Give your answer as an interval. My answers are -1/3 or -11/3

Algebra ->  Absolute-value -> SOLUTION: Solve: | | 3x+7| | <6 Give your answer as an interval. My answers are -1/3 or -11/3      Log On


   

Question 989030: Solve: | | 3x+7| | <6
Give your answer as an interval.
My answers are -1/3 or -11/3
Found 2 solutions by macston, stanbon:
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
abs%283x%2B7%29%3C6
3x%2B7%3C6 and 3x%2B7%3E-6
3x%3C-1 and 3x%3E-13
x%3C-1%2F3 and x%3E-13%2F3
-13%2F3 < x < -1%2F3
In interval notation: (-13/3, -1/3)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve: | | 3x+7| | <6
Give your answer as an interval.
My answers are -1/3 or -11/3
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Note:: Your problem is an AND problem; not an OR problem.
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|3x+7| < 6
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-6 < 3x+7 < 6
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-13 < 3x < -1
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-13/3 < x < -1/3
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Answer x is greater than -13/3 AND less than -1/3
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Cheers,
Stan H.
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