which number line represents the solution to the inequality $-3x - 6 leq 9$?
which number line represents the solution to the inequality $-3x - 6 leq 9$?
Answer
Explanation:
Step1: Solve the inequality
$$ \begin{align*} -3x - 6&\leq9\ -3x&\leq9 + 6\ -3x&\leq15\ x&\geq\frac{15}{-3}\ x&\geq - 5 \end{align*} $$
Step2: Analyze the number - line representation
The solution (x\geq - 5) means the number line should have a closed circle at (-5) (because the inequality is (\geq)) and the line should extend to the right (towards larger numbers).
Answer:
C.