jackie scored 82 and 88 on her first two quizzes. Write and solve a compound inquality to find the possible values for a third quiz score that would give her an average between 80 and 85, inclusive.

Question

Margaret Pittman

Mathematics

17 March, 10:40

jackie scored 82 and 88 on her first two quizzes. Write and solve a compound inquality to find the possible values for a third quiz score that would give her an average between 80 and 85, inclusive.

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Answers (1)

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Daniel · Answer 1

80 < = (82+88+x) / 3 < = 85 this is the compound inequality

multiply all sides by 3

240 < = (82+88+x) < = 255

combine like terms

240 < = (170+x) < = 255

subtract 170 from all sides

70 < = x< = 85

She must score between 70 and 85 inclusive