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?
① ( 50 leq x leq 58 )
② ( x geq 50 ) or ( x leq 58 )
③ ( x geq 52 ) or ( x leq 56 )
④ ( 52 leq x leq 56 )

Explanation:

Step1: Calculate lower bound

$54 - 4 = 50$

Step2: Calculate upper bound

$54 + 4 = 58$

Step3: Form the inequality

The value $x$ must be between the lower and upper bounds, inclusive.

Answer:

$50 \leq x \leq 58$