Question

solve the inequality and graph the solution. 2(f - 5) < 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.

Explanation:

Step1: Simplify the inequality

Divide both sides of \(2(f - 5)<6\) by \(2\).
\(\frac{2(f - 5)}{2}<\frac{6}{2}\)
\(f - 5<3\)

Step2: Solve for \(f\)

Add \(5\) to both sides of \(f - 5<3\).
\(f-5 + 5<3 + 5\)
\(f<8\)

Answer:

The solution of the inequality \(2(f - 5)<6\) is \(f<8\). On the number - line, we plot an open circle at \(8\) (because \(f = 8\) is not included in the solution) and draw a ray to the left (since \(f\) is less than \(8\)).