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solve the inequality and graph the solution. 3f > 6 to draw a ray, plot…

Question

solve the inequality and graph the solution.
3f > 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

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

Step2: Simplify

$$f > 2$$

To graph \(f>2\), on the number - line:

  • Plot an open circle at \(f = 2\) (because \(f\) is not equal to 2, just greater than 2).
  • Draw an arrow to the right of 2 (since \(f\) values are greater than 2).

Answer:

The solution of the inequality \(3f>6\) is \(f>2\). On the number - line, there is an open circle at \(2\) and an arrow pointing to the right.