SOLUTION: I don't really know how to type this problem but I need help with this inequality | 4t-3 | is less than or equal to 7

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Question 492766: I don't really know how to type this problem but I need help with this inequality | 4t-3 | is less than or equal to 7
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
| 4t-3 | is less than or equal to 7
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|4t-3| = 4t-3 if t >= 3/4
|4t-3| = 3-4t if t < 3/4
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Solve if t >= 3/4
4t-3 <= 7
4t <= 10
t <= 10/4
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Solutions where (3/4)<= t <=(10/4)
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Solve if t < 3/4
3-4t <= 7
4t >= -4
t >=-1
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Combining those you get -1 <= t <= 10/4
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Cheers,
Stan H.
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