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evaluate the following. (a) $|-7 + 9| = $ (b) $|-7| + 9 = $

Question

evaluate the following.
(a) $|-7 + 9| = $
(b) $|-7| + 9 = $

Explanation:

Step1: Evaluate |-7 + 9|

First, calculate the expression inside the absolute value: \(-7 + 9 = 2\). Then, take the absolute value of 2, which is \(|2| = 2\).

Step2: Evaluate |-7| + 9

First, find the absolute value of -7: \(|-7| = 7\). Then, add 9 to this result: \(7 + 9 = 16\).

Answer:

(a) 2
(b) 16