College Algebra (Abridged)

It means that constitutes all values less than and equal to 1 and greater than and equal to 6. This can be represented on the number line as follows:

1.8 Systems of Linear Equations In this section, wewill learn how to solvemore than one linear equationwithmore than one unknown variable. This can be done by solving both the equations simultaneously to find the break-even, or equilibrium, point. The linear equations are generally in the form of: + = + = It should be noted that in the above stated equations: , , , , , and are constants and the values of both and b or and cannot be zero. Further, the system of linear equations could have any of three solutions: 1. The lines (graphical representation) formed by these equations will intersect at one point. Therefore, there will be one solution to the system. 2. The lines formed by these equations will be identical. Therefore, there will be an infinite number of solutions. 3. The lines formed by these equations will be parallel and distinct from each other. Therefore, there will be no solutions. The graphical representation of these cases is given as follows:

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