Answer:
Option A is the graph of the inequality.
Step-by-step explanation:
[tex]x - 3y \geqslant - 3[/tex]
Two points are needed to know the graph of the inequality, x- intercept and y- intercept.
At x - intercept, y = 0.
[tex]x - 3(0) \geqslant - 3[/tex]
[tex]x \geqslant - 3[/tex]
Also, at y - intercept, x = 0
[tex]0 - 3y \geqslant - 3[/tex]
[tex] - 3y \geqslant - 3[/tex]
Divide both sides by -3 and when dividing with negative, the inequality changes
[tex]y \leqslant 1[/tex]
Therefore, Option A is the graph of the inequality because the line meets both the x-axis and y-axis at x = -3 and y = 1 respectively, the thick line denotes less/than or equal and downward shading implies that
[tex]y \leqslant 1 \: and \: x \geqslant - 3[/tex]