Section: Math 0 Likes
If -2 ≤ x ≤ 4 and -1 ≤ y ≤ 5, what is the maximum value of |x - y| ? (September 2023 - G01)
Updated on 06/05/2024
If -2 ≤ x ≤ 4 and -1 ≤ y ≤ 5, what is the maximum value of |x - y| ?
Alternatives
A. 9
B. 7
C. 6
D. 5
E. 4
Solution
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.
Exam Edition: September 2023 - G01
Exam Year: 2023
Related topics: Number Theory, Interval Notation, Distance Formula
There are no comments yet.