first solve the inequality for y
[tex]\begin{gathered} x+y>-3 \\ y>-3-x \end{gathered}[/tex]now check the points
(0,0)
[tex]\begin{gathered} 0>-3-0 \\ 0>-3 \end{gathered}[/tex]its right because 0 is greater than -3
(-6,3)
[tex]\begin{gathered} 3>-3-(-6) \\ 3>3 \end{gathered}[/tex]its wrong because 3 isnt greater than 3