SOLUTION: I am really confused on this plese help. Given the pair of inequalities
y> x + 1
y< 3/2x +3
graph their solution set.
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Graphs
-> SOLUTION: I am really confused on this plese help. Given the pair of inequalities
y> x + 1
y< 3/2x +3
graph their solution set.
Log On
Step 1: Graph the boundary lines. For each of the inequalities, change the inequality sign to an equals sign and graph the line represented by the equation. Since both of your given inequalities are exclusive of equals, that is to say they are and instead of and , you need to graph them using dashed lines.
Step 2: For each inequality, select a test point that does not lie on the boundary line determined in step 1. Since neither of your boundary lines passes through the origin, the point (0, 0) is a very convenient test point. Substitute the coordinates of the test point into each of your inequalities. If the result is a true statement, shade in the entire half-plane on the side of the boundary line that contains the test point. If the result is a false statement, shade in the entire half-plane on the other side of the boundary line.
The solution set will be where the two shaded areas overlap. Any point actually on either boundary line is not included in the solution set in this case (see the reason for dashed boundary lines above)
