in order to be invited to tutoring or extension activities, a students performance must be at least 20…

in order to be invited to tutoring or extension activities, a students 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?\n85 < p < 125\n85 ≤ p ≤ 125\np < 85 or p > 125\np ≤ 85 or p ≥ 125
Answer
Explanation:
Step1: Calculate lower - bound score
The lower - bound score is obtained by subtracting 20 from the average score. So, $105−20 = 85$.
Step2: Calculate upper - bound score
The upper - bound score is obtained by adding 20 to the average score. So, $105 + 20=125$.
Step3: Determine the inequality
A student's score $p$ must be at least 20 points higher or lower than 105. This means $p\leq85$ or $p\geq125$.
Answer:
$p\leq85$ or $p\geq125$