Mrs. Sawyer estimates that a quiz will take students no fewer than 11 minutes but no more than 41 minutes to complete. She allots 1 minute for passing out the papers and instructions and then students will complete a 20-question quiz. Which compound inequality represents x, the average amount of time a student spends on each question?
A
1 + 20x > 11 or 1 + 20x < 41D
1 + 20x ≥ 11 or 1 + 20x ≤ 41The total time is 1 minute for handing out papers and instructions, plus 20x minutes for the quiz. “No fewer than 11” means at least 11, and “no more than 41” means at most 41, so the total time satisfies 11 ≤ 1 + 20x ≤ 41. Choice C states this compound inequality.
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