Graph the line using the x- and y-intercepts.
Use a solid line if the inequality is ≤ or ≥. Use a dashed line if the inequality is < or >.
Pick a test point (not on the line) and shade the false side.
After repeating steps 1-3 for each inequality, the solution set is left empty. Label that with an S.
Visually, finding a solution to a system of equations means finding the point of intersection.
Visually, a corner point for a solution set is an intersection point of boundary lines that are in the feasible region. (You can think of a corner point being the point where the boundary of the solution set "turns" and switches from going in one direction towards another direction.)
Since corner points correspond to solutions of a system of linear equations, we can use any of the techniques we learned in Unit 2:
Graphing*
Algebraic Elimination*
Gauss-Jordan
Matrix Equations
*Usually, graphing or algebraic elimination will work best for us in Unit 3.
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