Fill in the following blank with either $$ =, $$, so that the resulting statement is true. |8| $$ 8 \mid $$ |-8| $$ |8|-8 \mid $$

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Fill in the following blank with either $$ =,< $$, or $$ > $$, so that the resulting statement is true. |8| $$ 8 \mid $$ |-8| $$ |8|-8 \mid $$

UpStudy AI · Accepted Answer

To make the statement true, we need to fill in the blank with the appropriate comparison operator. Let's break down the expressions:

1. **Absolute Values Comparison:**
   $$
   |8| \quad \square \quad |-8|
   $$
   - $$ |8| = 8 $$
   - $$ |-8| = 8 $$
   
   Therefore:
   $$
   |8| = |-8|
   $$
   So, the first blank should be $$ = $$.

2. **Subtraction Comparison:**
   $$
   |8| - 8 \quad \square \quad 0
   $$
   - $$ |8| - 8 = 8 - 8 = 0 $$
   
   Therefore:
   $$
   |8| - 8 = 0
   $$
   So, the second blank should also be $$ = $$.

**Final Statement:**
$$
|8| = |-8| \quad \text{and} \quad |8| - 8 = 0
$$

Thus, both blanks are filled with the equality sign $$ = $$.
Both blanks should be filled with $$ = $$.

Fill in the following blank with either \( =,< \), or \( > \), so that the resulting statement is true. |8| \( 8 \mid \) |-8| \( |8|-8 \mid \)

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