What is a conditional equation?
ATrue for every value of the variable, no exceptions
BTrue for some values of the variable, false for others
CFalse for every value of the variable, no exceptions
DNever contains a variable of any kind at all
Answer & Solution
Correct answer: B. True for some values of the variable, false for others
1. The definition names an equation true for one or more values of the variable, but false for all other values, as conditional.
2. An equation true for every value is called an identity instead, and one false for every value is called a contradiction.
3. A conditional equation still contains a variable; it is simply not true for all possible values of it.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.4 Use a General Strategy to Solve Linear Equations_
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