2 Answers

Cognitronic · Answer 1 · 2024-07-25T04:57:41+0000

Answer:

y -x

Explanation:

You want to know the value of |x -y| when x < y.

The absolute value function is defined piecewise:

$|x|=\begin{cases}-x,&\text{for }x < 0\\x,&\text{for }x\ge0\end{cases}$

When this is applied to the given expression, it becomes ...

$|x-y|=\begin{cases}y-x,&\text{for }x < y\\x-y,&\text{for }x\ge y\end{cases}$

Since we're concerned only with the case x < y, the value is ...

|x -y| = y -x . . . . . when x < y

<95141404393>

Yoli · Answer 2 · 2024-07-29T14:00:56+0000

Answer and Explanation:

The absolute value expression:

| x - y |

yields the positive difference between the numbers x and y.

__

The absolute value function is defined as:

$| \, x\, | = \begin{cases}x \ \ \, \text{ if } x > 0 \\ -x \text{ if } x < 0\end{cases}$

__

To write a statement that is equal to the given one but without the absolute value, we have to use the information that:

and therefore it must be the number being subtracted from:

Please log in or register to add a comment.