A political polling agency predicts candidate A will win an election with 54 percent of the votes. Their poll has a margin of error of 4 percent both above and below the predicted percentage. Which inequality represents the predicted possible percent of votes, x , for candidate A?
Answer
A
52 is less than or equal to x comma x is less than or equal to 56
B
x is greater than or equal to 52 or x is less than or equal to 56
C
x is greater than or equal to 50 or x is less than or equal to 58
D
50 is less than or equal to x comma x is less than or equal to 58
Explanation
A margin of error of 4 percentage points means the possible vote percentage ranges from 4 below 54% to 4 above it. The lower bound is 54 − 4 = 50, and the upper bound is 54 + 4 = 58. Therefore, 50 is less than or equal to x, and x is less than or equal to 58, which is choice D.
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