TME REMAMN \( 59: 54 \) 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 \( A \) ? \( 50 \leq x \leq 58 \) \( x \geq 50 \) or \( x \leq 58 \) \( x \geq 52 \) or \( x \leq 56 \) \( 52 \leq x \leq 56 \)

To determine the range of predicted possible percentages for candidate \( A \) based on their predicted win percentage and the margin of error, we start with the information provided. Candidate \( A \) is predicted to receive \( 54\% \) of the votes, and the margin of error is \( 4\% \). This means candidate \( A \)’s actual percentage can vary by \( 4\% \) above or below \( 54\% \). Calculating this gives us: - Minimum possible percentage: \( 54\% - 4\% = 50\% \) - Maximum possible percentage: \( 54\% + 4\% = 58\% \) Thus, the possible range of percentages for candidate \( A \) is between \( 50\% \) and \( 58\% \). This translates into the inequality: \[ 50 \leq x \leq 58 \] So, the correct inequality representing the predicted possible percent of votes for candidate \( A \) is: **\( 50 \leq x \leq 58 \)**.