Question

solve the inequality. 3y ≤ -9 the solution is . graph the solution.

Explanation:

Step1: Isolate the variable y

Divide both sides of the inequality $3y\leq - 9$ by 3. Since 3>0, the direction of the inequality sign remains the same. So we have $y\leq\frac{-9}{3}$.

Step2: Simplify the right - hand side

$\frac{-9}{3}=-3$, so $y\leq - 3$.

Answer:

$y\leq - 3$

To graph the solution on the number line:

• Place a closed circle at - 3 (because the inequality is $\leq$, meaning - 3 is included in the solution set).
• Shade the line to the left of - 3 to represent all the values of y that are less than or equal to - 3.