SOLUTION: I'm very confused with this problem - please help. Please show in detail how you arrive at the answer. I think somewhere along the way my work is missing a step. The problem is

Question 101291This question is from textbook
: I'm very confused with this problem - please help. Please show in detail how you arrive at the answer. I think somewhere along the way my work is missing a step. The problem is
2/3(p+3) > 5/6 (p-4)
Thank you This question is from textbook

Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
2/3(p+3) > 5/6 (p-4) Get rid of parens
(2/3)p+(2/3)*3>(5/6)p-20/6 simplifying
(2/3)p+2>(5/6)p-20/6 multiply each term by 6 (LCM)
4p+12>5p-20 subtract 12 and also 5p from both sides
4p-5p+12-12>5p-5p-20-12 collect like terms
-p>-32 divide both sides by -1 (remember, inequality sign will change)
p<32

Hope this helps---ptaylor

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