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solve the inequality and graph the solution. 3f ≤ 6 plot the endpoints.…

Question

solve the inequality and graph the solution.
3f ≤ 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.
submit

Explanation:

Step1: Divide both sides by 3

$$\frac{3f}{3}\leq\frac{6}{3}$$

Step2: Simplify

$$f\leq2$$

To graph the solution:

  • Plot a closed circle at \(2\) (because the inequality is \(\leq\), so \(2\) is included in the solution set).
  • Draw a ray to the left of \(2\) (since \(f\) can be any value less than or equal to \(2\)).

Answer:

The solution of the inequality \(3f\leq6\) is \(f\leq2\). On the number - line, we have a closed - circle at \(2\) and a ray extending to the left.