Question

solve the inequality and graph the solution.
1 + 3f > 10
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:

Explanation:

Step1: Subtract 1 from both sides

$$1 + 3f-1>10 - 1$$
$$3f>9$$

Step2: Divide both sides by 3

$$\frac{3f}{3}>\frac{9}{3}$$
$$f > 3$$

To graph \(f>3\):

• Plot an open - circle at \(f = 3\) (because the inequality is strict, \(f

eq3\)).

• Draw an arrow to the right (since \(f\) is greater than 3).

Answer:

The solution of the inequality \(1 + 3f>10\) is \(f>3\). On the number - line, there is an open - circle at \(3\) and an arrow pointing to the right.