Question

Draw a closed circle on -6 and shade to the left.Draw an open circle on -6 and shade to the right.Draw an open circle on -6 and shade to the left.Draw a closed circle on -6 and shade to the right.

Answer 1

Given:

An inequality is

$\frac{x}{3}\leq-2$

Required:

Draw the graph of the inequality.

Explanation:

The given inequality is

$\frac{x}{3}\leqslant-2$

Multiply both sides by 3.

$\begin{gathered} \frac{x}{3}\times3\leqslant-2\times3 \\ x\leq-6 \end{gathered}$

The graph of the inequality is

Thus the solution region to the inequality is the closed point at x = -6 and the region to the left side because the inequality consists of the equal and the less significant.

Final Answer:

The first option is the correct answer.