SOLUTION: 5(2K-5)-2(K-8) > 3(2k +4) + K-2

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Question 126881: 5(2K-5)-2(K-8) > 3(2k +4) + K-2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

5%282k-5%29-2%28k-8%29%3E3%282k%2B4%29%2Bk-2 Start with the given inequality



10k-25-2k%2B16%3E6k%2B12%2B1k-2 Distribute


8k-9%3E6k%2B12%2Bk-2 Combine like terms on the left side


8k-9%3E7k%2B10 Combine like terms on the right side


8k%3E7k%2B10%2B9Add 9 to both sides


8k-7k%3E10%2B9 Subtract 7k from both sides


k%3E10%2B9 Combine like terms on the left side


k%3E19 Combine like terms on the right side

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Answer:
So our answer is k%3E19