If -2 ≤ x ≤ 4 and -1 ≤ y ≤ 5, what is the maximum value of |x - y| ? (September 2023 - G01)

Correct answer: B. 7.
Step 1: Identify the bounds of the variables
-2 ≤ x ≤ 4
-1 ≤ y ≤ 5

Step 2: Find the maximum distance between two points on the number line
The maximum distance between two points is when the points are at opposite ends of the number line.
Maximum distance = 4 - (-2) = 6

Step 3: Calculate the absolute difference
|x - y| ≤ |6 - (-1)| = |7| = 7

Therefore, the maximum value of |x - y| is B. 7.