Question 368689
If it has the less than or equal sign, or the greater than or equal sign, the graph will ALWAYS include the boundary line. <br>

If the inequality has the < or > signs, the graph will NEVER include the boundary line.<br>

As far as this specific question, once you have graphed it, just pick a single point on either side of the boundary line, and use the x and y values in place of the variables in the inequality.<br>

If the inequality is true, then you shade that side of the graph.<br>

If the inequality is false, then you shade the other side of the graph.<br>

For example, if I choose the point (0,0) then the inequality will become:<br>

0>=1/2*(0)-3 which simplifies to 0>=-3 which is true, since 0 is greater than -3.<br>

Then I would just shade the part of the graph which includes the point (0,0).<br>

I hope this helps!<br>