Question
(a) \( |-4|+7=\square \) (b) \( |-4+7|=\square \)
Ask by Rogers Graham. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
**(a) \( |-4|+7 = 11 \)
(b) \( |-4+7| = 3 \)**
Solution
**(a) \( |-4|+7 \)**
1. Evaluate the absolute value:
\[
|-4| = 4
\]
2. Add 7 to the result:
\[
4 + 7 = 11
\]
**(b) \( |-4+7| \)**
1. Simplify the expression inside the absolute value:
\[
-4 + 7 = 3
\]
2. Take the absolute value:
\[
|3| = 3
\]
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Simplify this solution The Deep Dive
The absolute value of \(-4\) is \(4\), so that means \( |-4| + 7 = 4 + 7 = 11 \). Thus, (a) evaluates to \(11\) when you plug in the values. In (b), you first calculate \(-4 + 7\), which equals \(3\). Taking the absolute value of \(3\) gives you \( |3| = 3\). Therefore, (b) evaluates to \(3\). So, we have \( |-4| + 7 = 11 \) and \( |-4 + 7| = 3 \).
