Question

evaluate the following.
(a) \\(\left|-9 + 5\
ight| = \square\\)
(b) \\(\left|-9\
ight| + 5 = \square\\)

Explanation:

Part (a)

Step1: Calculate inside the absolute value

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

Step2: Take the absolute value

Then, we take the absolute value of \(-4\). The absolute value of a number is its distance from zero on the number line, so \(|-4| = 4\).

Step1: Take the absolute value of -9

First, we find the absolute value of \(-9\). The absolute value of \(-9\) is \(9\) because the distance from \(-9\) to \(0\) on the number line is \(9\).

Step2: Add 5 to the result

Then, we add \(5\) to this result: \(9 + 5 = 14\).

Answer:

4

Part (b)