To find the correct graph we need to draw graph for the given inequality.
The correct graph is (a).
Given:
The inequality is [tex]y\geq (-x-3)[/tex].
Determine the points for given inequality.
[tex]y\geq (-x-3)[/tex]
Substitute [tex]-2[/tex] in above equation.
[tex]y\geq -(-2)-3\\y\geq -1[/tex]
The points is [tex](-2,-1)[/tex].
Substitute [tex]0[/tex] in above equation.
[tex]y\geq -(0)-3\\y\geq -3[/tex]
The points is [tex](0,-3)[/tex].
Substitute [tex]2[/tex] in above equation.
[tex]y\geq -(2)-3\\y\geq -5[/tex]
The points is [tex](2,-5)[/tex].
Draw the graph for above points.
Thus the correct graph is (a).
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