Question

solve the inequality and graph the solution. 3m ≤ -6 plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Isolate the variable m

Divide both sides of $3m\leq - 6$ by 3. Since 3>0, the inequality sign remains the same. So $m\leq\frac{-6}{3}$.

Step2: Calculate the value

$\frac{-6}{3}=-2$, so $m\leq - 2$.

Step3: Graph the solution

On the number - line, plot a closed circle at - 2 (because the inequality is $\leq$, including - 2) and draw a ray to the left of - 2 to represent all values of m that satisfy the inequality.

Answer:

The solution of the inequality is $m\leq - 2$. On the number - line, a closed circle is at - 2 and the ray extends to the left.