Answer :

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]