Answer:
Option A is the graph of the inequality.
Step-by-step explanation:
\(x - 3y \geqslant - 3\)
Two points are needed to know the graph of the inequality, x- intercept and y- intercept.
At x - intercept, y = 0.
\(x - 3(0) \geqslant - 3\)
\(x \geqslant - 3\)
Also, at y - intercept, x = 0
\(0 - 3y \geqslant - 3\)
\(- 3y \geqslant - 3\)
Divide both sides by -3 and when dividing with negative, the inequality changes
\(y \leqslant 1\)
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
\(y \leqslant 1 \: and \: x \geqslant - 3\)
