PP Section 1.3

# PP Section 1.3 - SolvingEquations ReviewandPreview...

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Solving Equations Review and Preview

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Definition and Examples An equation is an equality that involves variables. Examples: 2x + 1 = 5 Linear equation in  one variable. 2x + 3y = 6 Linear equation in  two variables. 0 8 7 5 2 = - + x x Quadratic equation
Domain The domain of a variable in an algebraic expression  is the set of all real numbers that can be replaced for  the variable for which the expression is defined. Examples: 2x + 1 = 5 Domain:  all real numbers 1 5 2 - x Domain:  all real numbers except 1  and -1

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Solutions of Equations The solution set of an equation is the set of real  numbers that satisfy the equation. Examples: 2x + 1 = 7 Solution set = {3} 0 4 2 = - x Solution set = {2, -2} 0 5 2 = + x Solution set = empty set = { }
Types of Equations Consistent:  equations with a non-empty solution set. Inconsistent:  equations with an empty

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## This note was uploaded on 01/22/2011 for the course MATH 2 taught by Professor Gardner during the Fall '08 term at Irvine Valley College.

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PP Section 1.3 - SolvingEquations ReviewandPreview...

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