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solve the inequality and graph the solution. 3r ≤ -6 to draw a ray, plo…

Question

solve the inequality and graph the solution.
3r ≤ -6
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.
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Explanation:

Step1: Divide both sides by 3

$$ \frac{3r}{3} \leq \frac{-6}{3} $$

Step2: Simplify

$$ r \leq -2 $$

Answer:

The solution of the inequality \(3r\leq - 6\) is \(r\leq - 2\). On the number - line, we have a closed circle at \(-2\) (because the inequality includes equality, i.e., \(r\) can be equal to \(-2\)) and the ray extends to the left (towards more negative values) to represent all values of \(r\) that are less than or equal to \(-2\).