Question

in which of the following does the shaded region represent the solution set to x - 3y ≥ 0? choose 1 answer:

Explanation:

Step1: Rewrite the inequality

Rewrite \(x - 3y\geq0\) as \(y\leq\frac{1}{3}x\). The boundary - line is \(y = \frac{1}{3}x\), which is a straight line with a slope of \(\frac{1}{3}\) and passing through the origin \((0,0)\).

Step2: Determine the shaded region

Since the inequality is \(y\leq\frac{1}{3}x\), the shaded region should be below the line \(y=\frac{1}{3}x\).

Answer:

C.