How do you solve and graph #2p + 5 ≥ 3p - 10 #?

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Answer 1 · 2017-05-08T13:46:05

See a solution process below:

Step 1) Subtract #color(red)(2p)# and add #color(blue)(10)# to each side of the inequality to solve for #p# while keeping the inequality balanced:

#-color(red)(2p) + 2p + 5 + color(blue)(10) >= -color(red)(2p) + 3p - 10 + color(blue)(10)#

#0 + 15 >= (-color(red)(2) + 3)p - 0#

#15 >= 1p#

#15 >= p#

Step 2) To state the solution in terms of #p# we can reverse or "flip" the entire inequality:

#p <= 15#