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solve the inequality and graph the solution. \\frac{f}{3} \\leq 3 plot …

Question

solve the inequality and graph the solution.
\frac{f}{3} \leq 3
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: Multiply both sides by 3

$$\frac{f}{3}\times3\leq3\times3$$

Step2: Simplify

$$f\leq9$$

To graph \(f\leq9\) on the number - line:

  • Place a closed circle at \(9\) (because the inequality is \(\leq\), so \(9\) is included in the solution set).
  • Draw a ray to the left of \(9\) (since \(f\) can be any number less than or equal to \(9\)).

Answer:

The solution of the inequality is \(f\leq9\). On the number - line, there is a closed circle at \(9\) and a ray extending to the left.