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?\no 50 ≤ x ≤ 58\no x ≥ 50 or x ≤ 58\no x ≥ 52 or x ≤ 56\no 52 ≤ 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?\no 50 ≤ x ≤ 58\no x ≥ 50 or x ≤ 58\no x ≥ 52 or x ≤ 56\no 52 ≤ x ≤ 56

Answer

Answer:

A. $50\leq x\leq58$

Explanation:

Step1: Calculate lower - bound

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

Step2: Calculate upper - bound

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

Step3: Form inequality

The possible percent of votes $x$ satisfies $50\leq x\leq58$.