Question 1040706: solve the inequality below and write the solution in interval notation
|2m+3|<13 Found 3 solutions by stanbon, Aldorozos, ikleyn:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! solve the inequality below and write the solution in interval notation
|2m+3|<13
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-13 < 2m+3 < 13
Subtract 3 along the line to get:
-16 < 2m < 10
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Divide by 2 along the line to get:
-8 < m < 5
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Cheers,
Stan H.
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You can put this solution on YOUR website! When we remove the absolute value we have to add plus and minus to the other side
Part one
2m+3 <13 we add -3 to both sides 2m+3-3<13-3 therefore 2m<10 divide both sides by 2 we get m<5
Part two
2m+3 <-13 we add -3 to both sides 2m+3-3<-13-3 therefore 2m<-16 divide both sides by 2 we get m<-8
From the first part we know that me has to be less than five. From the second part we know that m has to be less than -8. If we combine these two statements which means that m has to be less than five and at the same time it has to be less than -8 we conclude that the only way this statement is true is when m is less than -8 since if me is less than -8, it is automatically less than 5
Here is the answer
(-infinite, -8)
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