SOLUTION: Please help me solve this I have worked on it and keep getting it wrong and would really be grateful for any help. Thanks so much 2(4y-8)is greater than or equal to 3(4y+5)

Algebra ->  Inequalities -> SOLUTION: Please help me solve this I have worked on it and keep getting it wrong and would really be grateful for any help. Thanks so much 2(4y-8)is greater than or equal to 3(4y+5)      Log On


   

Question 121074: Please help me solve this I have worked on it and keep getting it wrong and would really be grateful for any help. Thanks so much
2(4y-8)is greater than or equal to 3(4y+5)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2%284y-8%29%3E=3%284y%2B5%29 Start with the given inequality



8y-16%3E=12y%2B15 Distribute


8y%3E=12y%2B15%2B16Add 16 to both sides


8y-12y%3E=15%2B16 Subtract 12y from both sides


-4y%3E=15%2B16 Combine like terms on the left side


-4y%3E=31 Combine like terms on the right side


y%3C=%2831%29%2F%28-4%29 Divide both sides by -4 to isolate y (note: Remember, dividing both sides by a negative number flips the inequality sign)



y%3C=-31%2F4 Reduce

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Answer:
So our answer is y%3C=-31%2F4 (which is approximately y%3C=-7.75 in decimal form)