To graph linear inequalities:
When the inequality is < or > you draw a dotted line
When the inequality is ≥ or ≤ you draw a full line
When the inequality is < or ≤ you shadow the area under the line (If it is a vertical line you shadow the left area)
When the inequality is > or ≥ you shadow the area over the line (if it is a vertical line you shadow the right area)
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For the given inequalities:
[tex]y>2[/tex]
The line is y=2 and it is a dotted horizontal line in y=2. The shaded area is over the line:
[tex]x\ge-3[/tex]
The line is x=-3 and it is a full vertical line in x=-3. The shaded area is to the right side of the line:
[tex]y>-x+3[/tex]
The line is y=-x+3. It passes trought point (0,3) and (3,0)
It is a dotted line and the shaded area is over that line:
