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What is a contradiction, and how many solutions does it have?
AAn equation true for every value of the variable; it has infinite solutions
BAn equation true for exactly one value of the variable
CAn equation that simplifies to a single variable term
DAn equation false for every value of the variable; it has no solution
Answer & Solution
Correct answer: D. An equation false for every value of the variable; it has no solution
1. The definition names an equation false for all values of the variable a contradiction.
2. Since no value of the variable makes it true, a contradiction has no solution at all.
3. An equation true for every value is an identity instead, and one true for exactly one value is conditional, neither of which matches this definition.
_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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