SOLUTION: 12<1-x=<15 i come up with an answer of -11 and -14 however my book says this is wrong, only the negative -14 is correct

Algebra ->  Inequalities -> SOLUTION: 12<1-x=<15 i come up with an answer of -11 and -14 however my book says this is wrong, only the negative -14 is correct      Log On


   



Question 316677: 12<1-x=<15
i come up with an answer of -11 and -14 however my book says this is wrong, only the negative -14 is correct

Found 3 solutions by stanbon, solver91311, nyc_function:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
12<1-x=<15
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Subtract 1 along the line to get:
11 < -x <= 14
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Multiply thru by -1.
Note: When you multiply by a negative the
order of the inequalities change.
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-14 <= x < -11
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Cheers,
Stan H.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If your answer looks like:



Then you are right and the book is wrong, UNLESS there is more to the problem than you have shared with us. Like perhaps it says "What is the lower limit of the interval containing " or some such language.

John


Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
Do you mean 12 ≤ 1 - x ≤ 15?
Or do you mean 12 < 1 - x ≤ 15?
In either case, plug both answers into the original inequality.
If you get a true statement, then you will know which answer is correct.
Understand?