Which of the following is always equivalent to the expression |x − y|?

|y-x|

Step-by-step explanation:

The absolute value of a real number (also called modulus) is a "non-negative value of that number without regard to its sign". This is because absolute values are, in fact, distances.

In other words: An absolute value is a number's distance from zero in the Number line.

For example, the absolute value of 7 is 7, and the absolute value of −7 is also 7!

Now, in the case of |x-y|, this is equal to |-x+y|:

|x-y|=|-x+y|=|y-x|

We can prove it with any two real numbers. For example, x=1 and y=2:

|1-2|=|-1|=1

|-1+2|=|1|=1

Therefore the expression |x − y| is always equivalent to |y − x|

b and c

step-by-step explanation: