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Final answer:The scores for students who are eligible for tutoring or extension activities, represented by p, are those that are 20 points higher or lower than the average score of 105. Therefore, the correct inequality representing p would be p < 85 or p > 125.Explanation:In this problem, you are asked to find whichinequality represents p, the scores for students who are eligible for tutoring or extension activities. The average score is said to be 105, and students whose performance is 20 points higher or lower are eligible. Therefore, the score must be less than 85 or greater than 125 for a student to be eligible. Hence, the correct inequality would be p < 85 or p > 125.Learn more about Mathematical Inequalities here:brainly.com/question/32089481#SPJ2...