SOLUTION: solve for t: 8(t+2)-3(t-4)<5(t-7)+8

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Question 545548: solve for t:
8(t+2)-3(t-4)<5(t-7)+8
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

8%28t%2B2%29-3%28t-4%29%3C5%28t-7%29%2B8 Start with the given inequality.


8t%2B16-3t%2B12%3C5t-35%2B8 Distribute.


28%2B5t%3C5t-35%2B8 Combine like terms on the left side.


28%2B5t%3C-27%2B5t Combine like terms on the right side.


5t%3C-27%2B5t-28 Subtract 28 from both sides.


5t-5t%3C-27-28 Subtract 5t from both sides.


0t%3C-27-28 Combine like terms on the left side.


0t%3C-55 Combine like terms on the right side.


0%3C-55 Simplify


Since the inequality is false, there are no solutions.