Question 138574: Graph the system of inequalities.
y >_ -2
x >_ 5 Of coure the _ is supposed to be under the >
Can you help with this please. I am baffled.
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website! The graph of a linear inequality is a line with half of the coordinate plane shaded in. If the inequality inclues 'or equal to' like yours do, then the line is solid, otherwise it is a dashed line. The meaning of the graph is that all points in the shaded area (and on the line if it is solid) satisfy the inequality, the rest of the points in the plane do not.
So the process is to first replace the inequality sign with an equal sign and then graph the line like you would graph any other straight line, deciding in the process whether to make the line solid or dashed.
Next, select any point that is not on the line. If the line does not pass through the origin, (0,0) is always a good choice for a test point. If the coordinates of the test point make the original inequality a true statement, then the selected point lies on the side of the line that needs to be shaded, otherwise, shade in the other side of the line.
 is a horizontal line where all of the points have a y-coordinate of -2.  is a vertical line where all of the points have an x-coordinate of 5. So, once you have graphed both lines and shaded in the proper sides, you will have an area that is shaded by both inequality graphs -- and THAT region is the solution to your system of inequalities.
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