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
A
p is less than 85 or p is greater than 125
B
p is less than or equal to 85 or p is greater than or equal to 125
C
85 is less than p comma p is less than 125
D
85 is less than or equal to p comma p is less than or equal to 125
Explanation
A score at least 20 points below 105 is 105 − 20 = 85 or lower. A score at least 20 points above 105 is 105 + 20 = 125 or higher. Therefore, eligible scores satisfy p ≤ 85 or p ≥ 125, which is choice B.
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