Linear Equations & inequalities

Feb 3rd, 2012
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The techniques for solving linear equations and linear inequalities are similar, yet different. Explain and give an example of both a linear equation and a linear inequality that demonstrates this difference. Here is a small writeup for the above topic

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Question : The techniques for solving linear equations and linear inequalities are similar, yet different. Explain and give an example of both a linear equation and a linear inequality that demonstrates this difference.Solution : A linear equation is a relation of one or more variables whose exponents are one. General format of linear equation is , where are the variables and are the coefficient of variables and is the constant term. In order to obtain the solution form the linear equations, number of linear equations required must be equal to the number of variables. A linear equation when plotted on the graph it is represented by a line. The location at which the two lines intersect each other is known as solution of the given equations. Examples of linear equation are as follows : , a linear equation with one variable , a linear equation with two variables In mathematics a linear inequality is an inequality which involves one or more linear variables. The only difference between Linear equation and linear inequality that "=" sign is replaced by inequality sign in the equation. A linear inequality contains one of the symbols of inequality, following are the

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