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

Explanation:

Step1: Analyze the margin of error

The predicted percentage is \(54\%\) and the margin of error is \(4\%\).

Step2: Calculate the lower and upper bounds

The lower bound is \(54 - 4=50\) and the upper bound is \(54 + 4 = 58\). So the possible values of \(x\) (percentage of votes) satisfy \(50\leq x\leq58\).

Answer:

\(50\leq x\leq58\)