12
QuizMultiple Choice

Introduction to Compound Inequalities

Question 12 • MOHEGAN - ALGEBRA 1A

A political polling agency predicts candidate A will win an election with 54% of the votes. Their poll has a margin of error of 4% both above and below the predicted percentage. Which inequality represents the predicted possible percent of votes, x, for candidate A?

Answer
A
50 ≤ x ≤ 58
B
x ≥ 50 or x ≤ 58
C
x ≥ 52 or x ≤ 56
D
52 ≤ x ≤ 56

Explanation

A 4% margin of error means the predicted percentage could be 4 percentage points below or above 54%. The endpoints are 54 − 4 = 50 and 54 + 4 = 58, so the possible values satisfy 50 ≤ x ≤ 58. This is choice A.

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