Questions: Fill in the blank so that the resulting statement is true. An equation that is true for all real numbers for which both sides are defined is called a(n) inconsistent equation conditional equation. identity.

Fill in the blank so that the resulting statement is true. An equation that is true for all real numbers for which both sides are defined is called a(n) inconsistent equation conditional equation. identity.
Transcript text: 1.2 Linear Equations and Rational Question 13 of 17 Fill in the blank so that the resulting statement is true. An equation that is true for all real numbers for which both sides are defined is called a(n) $\square$ inconsistent equation conditional equation. identity.
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Solution

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Solution Steps

The question is asking for a term that describes an equation true for all real numbers where both sides are defined. This is a definition-based question, and the term that fits this description is "identity."

Step 1: Understanding the Question

The question asks for a term that describes an equation which is true for all real numbers where both sides are defined. This type of equation is characterized by its universal truth across its domain.

Step 2: Identifying the Term

The term that fits the description of an equation that holds true for all values in its domain is known as an "identity." An identity is an equation that is valid for every possible value of the variable(s) involved.

Final Answer

The answer is \( \boxed{\text{identity}} \).

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