Problem 84
Question
State the name of the property illustrated. $$(x+4)+[-(x+4)]=0$$
Step-by-Step Solution
Verified Answer
The property illustrated in the expression is the Inverse Property.
1Step 1: Identifying Elements in Expression
Firstly, identify the elements in the expression. Here, \(x+4\) is being added to its inverse - that is \(-1\) times \(x+4\), or \(-x-4\). This whole expression equals to zero.
2Step 2: Recognizing The Property
Remember the Inverse Property which states that for any number \(a\), \(a + -a = 0\). Now, you can see that this exact property is being showcased in this expression, where \(a\) and \(-a\) are the expressions \(x+4\) and \(-x-4\), respectively.
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Problem 84
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