Insert $$ $$, or = to make the statement true. $$ \begin{array}{l}|-9| \quad|9| \ |-9| \prod|9|\end{array} $$

Question

Insert $$ <,> $$, or = to make the statement true. $$ \begin{array}{l}|-9| \quad|9| \ |-9| \prod|9|\end{array} $$

UpStudy AI · Accepted Answer

To make the statements true, you need to compare the absolute values $$ |-9| $$ and $$ |9| $$.

Recall that the absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore:

$$
|-9| = 9 \quad \text{and} \quad |9| = 9
$$

Since both absolute values are equal, you should use the equals sign $$ = $$ in both places.

**Completed Statements:**

$$
\begin{array}{l}
|-9| = |9| \
|-9| = |9|
\end{array}
$$

So, the correct insertion is:

$$
|-9| \, = \, |9| \
|-9| \, = \, |9|
$$
$$ |-9| = |9| \ |-9| = |9| $$

Insert \( <,> \), or = to make the statement true. \( \begin{array}{l}|-9| \quad|9| \\ |-9| \prod|9|\end{array} \)