Question

in order to be invited to tutoring or extension activities, a students performance must be at least 20 points hi lower than an average score. if the average score is 105, which inequality represents p, the scores for stude are eligible for tutoring or extension activities?
○ 85 < p < 125
○ 85 ≤ p ≤ 125
○ p < 85 or p > 125
○ p ≤ 85 or p ≥ 125

Explanation:

Step1: Determine the lower bound

The average score is 105, and the student's score must be at least 20 points lower than the average. So the lower bound is \(105 - 20 = 85\). Since it can be equal to 85 (at least 20 points lower), we use \(\leq\) for the lower bound.

Step2: Determine the upper bound

The student's score must be at least 20 points higher than the average. So the upper bound is \(105 + 20 = 125\). Since it can be equal to 125 (at least 20 points higher), we use \(\leq\) for the upper bound.

Step3: Form the inequality

Combining the lower and upper bounds, the inequality for \(p\) is \(85\leq p\leq125\).

Answer:

B. \(85 \leq p \leq 125\)