Verified Answer :

Intriguing456

Answer:

The absolute value equation:

\(x = \left|\!\dfrac{}{}-\!x\dfrac{}{}\right|\)

is true when x is positive or zero.

  • x ≥ 0

Explanation:

This is because the absolute value function (denoted by vertical bars) always outputs a positive number. Any output from the absolute value function cannot equal a negative number, so x must be positive or zero.

Further Note

The piecewise definition of the absolute value function is:

\(|x| = \begin{cases}x\ \ \, \text{ if } x\ge 0\\ -x\text{ if }x < 0\end{cases}\)

Related Questions