SOLUTION: -2(2p+6)+5<-3(p-1)

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Question 563636: -2(2p+6)+5<-3(p-1)

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-2%282p%2B6%29%2B5%3C-3%28p-1%29 Start with the given inequality.


-4p-12%2B5%3C-3p%2B3 Distribute.


-4p-7%3C-3p%2B3 Combine like terms on the left side.


-4p%3C-3p%2B3%2B7 Add 7 to both sides.


-4p%2B3p%3C3%2B7 Add 3p to both sides.


-p%3C3%2B7 Combine like terms on the left side.


-p%3C10 Combine like terms on the right side.


p%3E%2810%29%2F%28-1%29 Divide both sides by -1 to isolate p. note: Remember, the inequality sign flips when we divide both sides by a negative number.


p%3E-10 Reduce.


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Answer:

So the solution is p%3E-10
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