Question

replace ? to make a true statement.\\
$|-4 + 8|$ ? $|-8 - 4|$

Explanation:

Step 1: Calculate \(|-4 + 8|\)

First, simplify the expression inside the absolute value: \(-4 + 8 = 4\). Then, take the absolute value: \(|4| = 4\).

Step 2: Calculate \(|-8 - 4|\)

Simplify the expression inside the absolute value: \(-8 - 4 = -12\). Then, take the absolute value: \(|-12| = 12\).

Step 3: Compare the two results

We have \(4\) from the first absolute value and \(12\) from the second. Since \(4 < 12\), we can replace \(?\) with \(<\).

Answer:

\(|-4 + 8| < |-8 - 4|\)