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Chapter 0: Problem 84

State the name of the property illustrated. $$(x+4)+[-(x+4)]=0$$

Short Answer

Expert verified
The property illustrated in the expression is the Inverse Property.

Step by step solution

01

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.
02

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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Most popular questions from this chapter

Suppose that a polynomial contains four terms. Explain how to use factoring by grouping to factor the polynomial.

$$\text { Factor completely.}$$ $$7 x^{4}+34 x^{2}-5$$

$$\text { Factor completely.}$$ $$6 x^{4}+35 x^{2}-6$$

Find the intersection of the sets. $$\\{1,3,5,7\\} \cap\\{2,4,6,8,10\\}$$

Find the union of the sets. $$\\{1,3,5,7\\} \cup\\{2,4,6,8,10\\}$$
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