SOLUTION: 5[3t-(t-4)]-11≤-12(t-6)-(-t)

Algebra ->  Algebra  -> Inequalities -> SOLUTION: 5[3t-(t-4)]-11≤-12(t-6)-(-t)      Log On

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Question 120454This question is from textbook intermediate algebra
: 5[3t-(t-4)]-11≤-12(t-6)-(-t)This question is from textbook intermediate algebra

Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
5%283t-%28t-4%29%29-11%3C=-12%28t-6%29-%28-t%29 Start with the given inequality


15t-5%28t-4%29-11%3C=-12t%2B72%2Bt Distribute


15t-5t%2B20-11%3C=-12t%2B72%2Bt Distribute again


10t%2B9%3C=-12t%2B72%2Bt Combine like terms on the left side


10t%2B9%3C=-11t%2B72 Combine like terms on the right side


10t%3C=-11t%2B72-9Subtract 9 from both sides


10t%2B11t%3C=72-9 Add 11t to both sides


21t%3C=72-9 Combine like terms on the left side


21t%3C=63 Combine like terms on the right side


t%3C=%2863%29%2F%2821%29 Divide both sides by 21 to isolate t



t%3C=3 Divide

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Answer:
So our answer is t%3C=3