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!

Related questions
See all questions in Inequalities with Addition and Subtraction
Impact of this question
3637 views around the world
You can reuse this answer
Creative Commons License