2.9.1: Key Terms

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Key Terms

compound inequality: A compound inequality is made up of two inequalities connected by the word “and” or the word “or.”

conditional equation: An equation that is true for one or more values of the variable and false for all other values of the variable is a conditional equation.

contradiction: An equation that is false for all values of the variable is called a contradiction. A contradiction has no solution.

identity: An equation that is true for any value of the variable is called an Identity. The solution of an identity is all real numbers.

linear equation: A linear equation is an equation in one variable that can be written, where a and b are real numbers and $a \neq 0,$ as $a x + b = 0 .$

solution of an equation: A solution of an equation is a value of a variable that makes a true statement when substituted into the equation.

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