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

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A margin of error means how much a prediction can be wrong. So if a prediction is 54% and the margin of error is 4%, then it can be wrong by 4 percent, so it could be 4 % less (50%) or more (58%). 

Correct Answer;
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50%≤x≥58%
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The inequality that represents the predicted possible percent of votes is 50 ≤ x ≤ 58

The margin of error (E) shows by how much the measured value can differ from the mean value.

Given that the probability of winning the election is 54% and there is a margin of error of 4%, hence:

Let x represent the predicted possible percent of votes.

x = 54% ± 4%

x = (54% - 4%, 54% + 4%)

x = (50%, 58%)

The inequality that represents the predicted possible percent of votes is 50 ≤ x ≤ 58

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