Question

the table to the right shows the number of pupils per teacher in certain public schools in a recent year. which schools had a number not less than 14.5?

which of the following lists of schools is the correct answer?

a. school a, school b, school c, school f
b. school d, school e, school g
c. school a, school c, school f
d. school a, school b, school c, school f, school g

Explanation:

Translate the verbal condition to an inequality

"Not less than \(14.5\)" means greater than or equal to \(14.5\):

$$x \ge 14.5$$

Evaluate each school's value against the inequality

• School A: \(17.8 \ge 14.5\) (True)
• School B: \(15.9 \ge 14.5\) (True)
• School C: \(19.7 \ge 14.5\) (True)
• School D: \(12.1 \ge 14.5\) (False)
• School E: \(11.9 \ge 14.5\) (False)
• School F: \(17.9 \ge 14.5\) (True)
• School G: \(12.9 \ge 14.5\) (False)

Identify the matching schools and select the option

The schools meeting the condition are School A, School B, School C, and School F.
This matches option A.

Answer:

• A. School A, School B, School C, School F (Correct answer)
• B. School D, School E, School G
• C. School A, School C, School F
• D. School A, School B, School C, School F, School G