Question

which sign makes the statement true? |-73| ? |73| > < = submit

Explanation:

Step1: Recall absolute value definition

The absolute value of a number \( x \), denoted \( |x| \), is the distance of \( x \) from 0 on the number line, so \( |x|=

$$\begin{cases}x, & x\geq0 \\ -x, & x < 0\end{cases}$$

\).
For \( | - 73| \), since \( - 73<0 \), \( | - 73|=-(-73) = 73 \).

Step2: Calculate \( |73| \)

For \( |73| \), since \( 73\geq0 \), \( |73| = 73 \).

Step3: Compare the two values

We have \( | - 73|=73 \) and \( |73| = 73 \), so \( | - 73|=|73| \).

Answer:

\(=\)