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?
85 < p < 125
85 ≤ p ≤ 125
p < 85 or p > 125
p ≤ 85 or p ≥ 125
which one

Let the performance of the student be represented by p. While writing inequalities, certain words and phrases tell us what type of inequality will be formed. "At least" is one of these phrases and indicates that a "greater than or equal to" inequality or a "less than or equal to" inequality will be formed. Thus, if the average score is 105, 20 points more than this is 125. 20 points less than the average is 85. Therefore, p must be atleast 20 points higher, p >= 125, or at least 20 points lower, p <= 85. The last option is correct.