Question

In order to be invited to tutoring or extension activities, a student's performance must be at least 20 points higher or lower than an average score. If the average score is 105, which inequality represents p, the scores for students who are eligible for tutoring or extension activities

Answer 1

D. p ≤ 85 or p ≥ 125

You only have to meet 1 requirement, which A & B have 2.

Due to the wording, at least 20 points, I would take that as meaning 105-20=85 is allowed or 105+20=125 is allowed.

C, does not allow you to use 85,125.

Answer 2

The inequality that represents p are p
`\geq` 125 or p
`\leq` 85.

Explanation:

We are given that in order to be invited to tutoring or extension activities, a student's performance must be at least 20 points higher or lower than an average score. The average score is 105.

Let p = the scores for students who are eligible for tutoring or extension activities.

The first condition states that a student's performance must be at least 20 points higher than an average score, that means;

p
`\geq` (105 + 20)

p
`\geq` 125

Similarly, the second condition states that a student's performance must be at least 20 points lower than an average score, that means;

p
`\leq` (105 - 20)

p
`\leq` 85

So, the inequality that represents p are p
`\geq` 125 or p
`\leq` 85.