91Ó°ÊÓ

The given system is$\left\{\begin{array}{l}x>-4\\ x-2y≤-4\end{array}\right.$.

• The line $x=-4$will be a vertical line passing through $(-4,0)$.
• Draw a vertical line that is dotted.
• The point (0,0) satisfies the inequality, so shade the region that includes the origin.

• The intercepts of $x-2y=-4$are $(-4,0),(0,2)$.
• Join the points to plot a solid line.
• The point $(0,0)$does not satisfy the inequality, so shade the region that excludes the origin .

• The solution set is the region shaded with the darker color excluding the point of intersection and the dotted boundary line as it does not satisfy the first inequality.

• One of the points that lie in the solution set is $(0,2)$.
• Check if the point satisfies the inequalities.

$0>-4$

$$\begin{gathered} 0-2\left(2\right)\stackrel{?}{≤}-4 \\ -4≤-4 \end{gathered}$$

• As both the inequalities are satisfied, the solution is verified.