How do you solve #3p +5 <= 23#?

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Answer 1 · 2017-04-17T23:15:09

See the entire solution process below:

First, subtract #color(red)(5)# from each side of the inequality to isolate the #p# term while keeping the inequality balanced:

#3p + 5 - color(red)(5) <= 23 - color(red)(5)#

#3p + 0 <= 18#

#3p <= 18#

Now, divide each side of the inequality by #color(red)(3)# to solve for #p# while keeping the inequality balanced:

#(3p)/color(red)(3) <= 18/color(red)(3)#

#(color(red)(cancel(color(black)(3)))p)/cancel(color(red)(3)) <= 6#

#p <= 6#

How do you solve #3p +5 &lt;= 23#?