We can begin by typing what the inequality would look like:
3/4 - 1/2p > 5/4
We can get rid of 3/4 to isolate the coefficient:
(3/4 - 3/4) - 1/2p > 5/4 - 3/4
-1/2p > 2/4
Now let’s divide both sides by -1/2
-1/2 / -1/2 = 1
2/4 / 1/2 = 1
We have to switch the sign here since we divided:
p < 1
That is the answer to Part A.
Part B answer: To graph the solution to Part A on a number line, we can go to 1 and plot it. Then, we can create an arrow going to the left to show that p is less than 1. However, this solution cannot be graphed on a coordinate plane because the variable isn’t x or y. Because the variable is p, we cannot determine whether the value of p is vertical or horizontal.
