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The inequality three fourths minus one half times p is greater than five fourths is given.

Part A: Solve the inequality for p. Show each step of your work. (2 points)

Part B: How would you graph your solution to Part A on a number line? Explain in words. (2 points)

Sagot :

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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.
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