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Introduction to Linear Inequalities

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Submitted By 1lynnb
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Week Three Linear Inequality Lynn Branham MAT221 Instructor Charlie Williams May 9, 2013

Introduction On Linear Inequalities Linear equations are special kinds of algebraic expressions that contains two variables. The value of one variable is dependent upon the other. The functions of inequalities are expressed as a line. The complexity of linear equations and linear equalities are sometimes compared concerning the complications of each. Unlike linear equations, linear inequalities incorporate the assessment of where to shade after a solution has been determined. Typically, two equations collaborate to compose a linear inequality. A linear equation will be made up of a combination of constants, a set of numbers and variables. The variables must be to the first power and cannot be squared or cubed. According to Michael Judge, the most common type of linear equation is in the form y = mx + b and describes a straight line (2010). In this case, the two variables are usually x and y and the constants are m and b which are numbers giving the slope and intercept of the line.

Operations of Linear Equations
Two equations and two variables are needed to find specific values. My variables are: c = # of classic maple rockers m = # modern rockers
A classic maple requires 15 board feet of maple, and a total of 15c maple for all classic maple rockers. A modern rocker requires 12 board feet of maple, and a total of 12m for all modern rockers. I can use no more than 3000 board feet total, which gives the following inequality:
15c+12m =3000 where the c-intercept is found by setting m=0,
15c+12(0) = 3000
15c = 3000 c = 200 the c-intercept is (200, 0).
The m-intercept is found by setting c=0,

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