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Chapter 1: Problem 113

What is a conditional equation? Give an example.

Short Answer

Expert verified
A conditional equation is an equation that's only true for certain values of the variables. An example is the equation \(x^2 - 4 = 0\), which is only true for \(x = 2\) and \(x = -2\).

Step by step solution

01

Defining a Conditional Equation

A conditional equation is an equation that holds true for certain values and not for others. In other words, a conditional equation is not universally true for all possible variable values. It is 'conditional' on the variable being a certain value.
02

Example of a Conditional Equation

Let's take an example of a conditional equation. Consider the equation \(x^2 - 4 = 0\). This equation is only true for values of \(x\) that are \(2\) and \(-2\). If you substitute any other value of \(x\) into this equation, it will not hold true. So, this equation is a conditional equation.

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