a political polling agency predicts candidate a will win an election with 54% of the votes. their poll has a…

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?\n50 ≤ x ≤ 58\nx ≥ 50 or x ≤ 58\nx ≥ 52 or x ≤ 56\n52 ≤ x ≤ 56

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?\n50 ≤ x ≤ 58\nx ≥ 50 or x ≤ 58\nx ≥ 52 or x ≤ 56\n52 ≤ x ≤ 56

Answer

Explanation:

Step1: Calculate lower - bound

Subtract the margin of error from the predicted percentage. $54 - 4=50$.

Step2: Calculate upper - bound

Add the margin of error to the predicted percentage. $54 + 4 = 58$.

Step3: Write the inequality

The possible percentage of votes $x$ for candidate A is between the lower - bound and upper - bound (inclusive), so $50\leq x\leq58$.

Answer:

$50\leq x\leq58$ (corresponding to the first option)