Solve the given inequality graphically in a two-dimensional plane: $x > -3$

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The graphical representation of $x = -3$ is given as a dotted line in the figure. This line divides the $xy$-plane into two half-planes.
Select a point (not on the line),which lies in one of the half-planes,to determine whether the point satisfies the given inequality or not.
We select the point $(0, 0)$.
It is observed that $0 > -3$,which is true.
Also,it is evident that any point on the line does not satisfy the given inequality.
Hence,every point on the right side of the line $x = -3$ (excluding all the points on the line) determines the solution of the given inequality.
The solution region is represented by the shaded region in the figure.

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