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# Mth141S15n - Sec 1.5 Linear Equations Inequalities The...

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Sec. 1.5 – Linear Equations & Inequalities The formal definition of a linear equation from the book is : Definition : A linear equation in one variable is an equation that is equivalent to one of the form ax + b = 0 , where a and b are real numbers, and a 0 . The word equivalent means another equation that has the same solution. You should know how to solve any linear equations for the value of the variable that makes it true. Techniques to use are combining like terms, using the addition property or multiplication property of equality to get (simpler) equivalent equations (or “subtraction” and “division” properties ??), clear the equation of fractions, etc. An important concept brought out in this section, which will be repeated frequently in later sections, is the relationship between the following three ideas : 1) Solving an equation algebraically (to find the value(s) that make it true). 2) Solving the equation graphically (to find the value(s) that make it true).

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