Question

ntroduction to compound inequalities
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 $x \leq 56$
$52 \leq x \leq 56$

Explanation:

Step1: Calculate lower bound

$54 - 4 = 50$

Step2: Calculate upper bound

$54 + 4 = 58$

Step3: Form compound inequality

$50 \leq x \leq 58$

Answer:

$50 \leq x \leq 58$