SOLUTION: 4 minus 3 absolute value of M plus 2 greater than negative 14

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Question 756304: 4 minus 3 absolute value of M plus 2 greater than negative 14
Found 2 solutions by stanbon, algebraic penguin:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
4 minus 3 absolute value of M plus 2 greater than negative 14
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4 - 3|M+2| > -14
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-3|M+2| > -18
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|M+2| < 6
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-6 < M+2 < 6
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-8 < M < 4
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Cheers,
Stan H.
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Answer by algebraic penguin(13) About Me  (Show Source):
You can put this solution on YOUR website!
hello,
We first convert the statement to algebraic form: 4-3abs%28M%29%2B2%3E-14.
We first simplify the expression, by cancelling out the nonvariable quantities, i.e. the integers.
We then get 6-3abs%28M%29%3E-14, so -3abs%28M%29%3E-14-6=-20. We cancel out the negatives, but DON'T FORGET to reverse the sign. We get 3abs%28M%29%3C20, so abs%28M%29%3C20%2F3, so we get -20%2F3%3CM%3C20%2F3
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