Question

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?

Answer 1

11 ≤ 1 + 20x ≤ 41
11 is less than or equal to 1+20x is less than or equal to 41

Answer 2

The inequality is given as:

11 ≤ 1+20 x ≤41

Explanation:

Let 'x' represents the average amount of time a student spends on each question.

Now we are given that:

Mrs. Sawyer estimates that a quiz will take students no fewer than 11 minutes that means the total time has to be greater than or equal to 11 minutes.

also we are given that it will take no more than 41 minutes to complete.

i.e. the total time has to be less than or equal to 41 min.

Now She allots 1 minute for passing out the papers and instructions and then students will complete a 20-question quiz.

that means the inequality is given as:

11 ≤ 1+20 x ≤ 41