Question

evaluate the following.
(a) $|-4 + 9| = $
(b) $|-4| + 9 = $

Explanation:

Part (a)

Step1: Calculate inside the absolute value

First, we calculate the expression inside the absolute value: \(-4 + 9 = 5\).

Step2: Take the absolute value

The absolute value of \(5\) is \(|5| = 5\).

Step1: Take the absolute value of -4

First, we find the absolute value of \(-4\), which is \(|-4| = 4\).

Step2: Add 9 to the result

Then we add \(9\) to this result: \(4 + 9 = 13\).

Answer:

\(5\)

Part (b)