Question

evaluate the following.
(a) $vert -9 + 7 vert = \square$
(b) $vert -9 vert + 7 = \square$

Explanation:

Part (a)

Step1: Calculate inside the absolute value

First, we calculate the expression inside the absolute value: \(-9 + 7\).
\(-9 + 7 = -2\)

Step2: Take the absolute value

Now, we take the absolute value of \(-2\). The absolute value of a number is its distance from zero on the number line, so \(|-2| = 2\)

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 zero on the number line is \(9\). So, \(|-9| = 9\)

Step2: Add 7 to the result

Now, we add \(7\) to \(9\): \(9 + 7 = 16\)

Answer:

\(2\)

Part (b)