How do you solve and graph #p-7/12>3/10#?

1 Answer
Rachel
Jun 1, 2017

#p > 53/60#

Explanation:

Let's isolate #p#:

#p-7/12 > 3/10#

add #7/12# to each side

#p > 3/10 + 7/12#

#p > 6/6 xx 3/10 + 7/12 xx 5/5#

#p > 18/60 + 35/60#

#p > 53/60#

This is our solution, but now we need to graph it.

To graph it, we need to first understand what the expression says:
#p# is greater than #53/60#.

Thus, anything greater than #53/60#, so something like #2# or #90# or even #2,000,000# (anything to the right of #53/60# ) is included in this statement, because it make the statement true.

Just to check, let's graph the inequality:
graph{x-7/12 > 3/10}

Yep, to the right is shaded in!

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