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?

\\(50 \le x \le 58\\)
\\(x \ge 50\\) or \\(x \le 58\\)
\\(x \ge 52\\) or \\(x \le 56\\)
\\(52 \le x \le 56\\)

Explanation:

Identify the given values

Using the Compound Inequalities knowledge point

$$
LATEXBLOCK0
$$

Calculate the lower and upper bounds

Using the Compound Inequalities knowledge point

$$
LATEXBLOCK1
$$

Formulate the compound inequality

Using the Compound Inequality Conjunctions knowledge point

$$ 50 \le x \le 58 $$

Answer:

• (A) \(50 \le x \le 58\) (Correct answer)
• (B) \(x \ge 50 \text{ or } x \le 58\)
• (C) \(x \ge 52 \text{ or } x \le 56\)
• (D) \(52 \le x \le 56\)