X+2y greater than or equal to -3
I am having trouble figureing out how to graph it. How does -3 get graphed when it dosent have an x or y to it?
$\displaystyle \displaystyle \begin{align*} x + 2y &\geq -3 \\ 2y &\geq -x - 3 \\ y &\geq -\frac{1}{2}x - \frac{3}{2} \end{align*}$
So you will need to graph the line $\displaystyle \displaystyle y = -\frac{1}{2}x - \frac{3}{2}$ and accept everything that's above that line (in other words, shade everything below it...)
Obtaining the intercepts was ok too.
Following on from all the good posts above and in response to your 2nd posting....
When $\displaystyle x=0\Rightarrow\ y\ge\ -\frac{3}{2}$
When $\displaystyle y=0\Rightarrow\ x\ge\ -3$
Now if you draw the line through the intercepts, you have the line representing $\displaystyle x+2y=-3$
If you wish, you may test the point (0,0) to see whether it is in the
$\displaystyle x+2y\ge\ -3$
or
$\displaystyle x+2y\le\ -3$
region.