Question

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?

50 ≤ x ≤ 58
x ≥ 50 or x ≤ 58
x ≥ 52 or x ≤ 56
52 ≤ x ≤ 56

Answer 1

Margin of error ±4% around 54% gives the interval 54 − 4 to 54 + 4, i.e. 50 ≤ x ≤ 58.