False Equation

Equations

Definition

A false equation is an equation that is not true for any value of the variable(s).

Description

False equations are equations that do not hold true for any value of the variable(s). For example, the equation

x + 2 = x + 3

is false because there is no value of x that makes both sides equal. Identifying false equations is important in verifying the validity of mathematical statements.

In real-world applications, recognizing false equations helps in error checking and ensuring the accuracy of mathematical models. Understanding false equations helps students develop critical thinking and analytical skills.

For a complete collection of terms related to functions and relations click on this link: Functions and Relations Collection

Common Core Standards CCSS.MATH.CONTENT.6.EE.B.5, CCSS.MATH.CONTENT.7.EE.B.4, CCSS.MATH.CONTENT.HSA.REI.A.1 6 - 12 Algebra     • Expressions, Equations, and Inequalities         • Applications of Equations and Inequalities 2021 equations, solving equations, definitions, glossary terms