SOLUTION: Help me solve this inequality please. 4(2y-5)> 3(5y+8)

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Question 152419: Help me solve this inequality please.
4(2y-5)> 3(5y+8)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

4%282y-5%29%3E3%285y%2B8%29 Start with the given inequality.


8y-20%3E15y%2B24 Distribute.


8y%3E15y%2B24%2B20 Add 20 to both sides.


8y-15y%3E24%2B20 Subtract 15y from both sides.


-7y%3E24%2B20 Combine like terms on the left side.


-7y%3E44 Combine like terms on the right side.


y%3C%2844%29%2F%28-7%29 Divide both sides by -7 to isolate y. note: Remember, the inequality sign flips when we divide both sides by a negative number.


y%3C-44%2F7 Reduce.


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Answer:

So the answer is y%3C-44%2F7


Which approximates to y%3C-6.286