Question

Is the absolute value of x-y greater than ___________?

Options:
A. x+y
B. x/y
C. y-x
D. x*y

Answer 1

The absolute value of x-y is always greater than x+y, x/y, y-x, and x*y.

Step-by-step explanation:

The absolute value of x-y is greater than x+y, x/y, y-x, and x*y.

This is because the absolute value of x-y represents the distance between x and y on the number line, regardless of whether x is greater than y or vice versa.

For example, if x=1 and y=2, the absolute value of x-y is 1, which is greater than x+y (3), x/y (0.5), y-x (-1), and x*y (2).