Question

evaluate the following. (a) \\(\vert 6 - 9 \vert = \square\\) (b) \\(\vert 6 \vert - 9 = \square\\)

Explanation:

Part (a)

Step1: Calculate inside the absolute value

First, we calculate the expression inside the absolute value: \(6 - 9=-3\).

Step2: Take the absolute value

The absolute value of \(-3\) is \(|-3| = 3\).

Step1: Take the absolute value of 6

First, we find the absolute value of \(6\), which is \(|6| = 6\).

Step2: Subtract 9 from the result

Then we subtract \(9\) from \(6\): \(6 - 9=-3\).

Answer:

\(3\)

Part (b)