Question

solve the inequality and graph the solution. -3x≤6. choose the correct graph below.

Explanation:

Step1: Solve the inequality

Divide both sides of $- 3x\leq6$ by $-3$. When dividing an inequality by a negative number, the direction of the inequality sign changes. So we have $x\geq - 2$.

Step2: Analyze the graph

A closed - circle is used for $\geq$ or $\leq$ and an open - circle is used for $>$ or $<$. The solution $x\geq - 2$ means the graph should have a closed - circle at $x = - 2$ and the line should extend to the right.

Answer:

A. A number line with a closed - circle at $-2$ and an arrow pointing to the right.