How do you solve the inequality #7 + 2p< -14#?

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Answer 1 · 2018-06-26T12:48:07

#p < - 21/2#

#7 + 2p < - 14#

Subtracting #7# from both sides;

#7 + 2p - 7 < - 14 - 7#

#7 - 7 + 2p < - 21#

#0 + 2p < - 21#

#2p < - 21#

Dividing both sides by the coefficient of #p#

#(2p)/2 < - 21/2#

#(cancel2p)/cancel2 < - 21/2#

#p < - 21/2#

Answer 2 · 2018-07-05T22:36:00

#p<-21/2#

Recall that we want to isolate #p#. We can start by subtracting #7# from both sides to get

#2p<-21#

Dividing both sides by #2# gives us

#p<-21/2#

Hope this helps!