Question

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

Answer 1

`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!