Question

To qualify for a particular scholarship, a student must have an overall grade point average of 3.0 or above and must have a science grade point average of over 3.2. Let overallGPA represent a student’s overall grade point average and let scienceGPA represent the student’s science grade point average. Which of the following expressions evaluates to true if the student is eligible for the scholarship and evaluates to false otherwise?

a: (overallGPA > 3.0) AND (scienceGPA ≥ 3.2)
b: (overallGPA > 3.0) AND (scienceGPA > 3.2)
c: (overallGPA ≥ 3.0) AND (scienceGPA ≥ 3.2)
d: (overallGPA ≥ 3.0) AND (scienceGPA > 3.2)

Answer 1

(
`overallGPA \ge 3.0`) AND (
`scienceGPA > 3.2`)

Step-by-step explanation:

Given

`overallGPA \to` Overall Grade Point Average

`scienceGPA \to` Science Grade Point Average

Required

The expression that represents the given scenario

From the question, we understand that:

`overallGPA \ge 3.0` --- average
`greater\ than\ or` equal to
`3.0`

`scienceGPA > 3.2` --- average
`over` 3.2

Since both conditions must be true, the statements will be joined with the AND operator;

So, we have:

(
`overallGPA \ge 3.0`) AND (
`scienceGPA > 3.2`)