On a piece of paper, graph this system of inequalities. then determine which region contains the solution to the system.

we have

----> inequality 1

The solution of the inequality 1 is the shaded area below the solid red line

The solution is the region D and region C

-----> inequality 2

The solution of the inequality 2 is the shaded area above the solid blue line

The solution is the region B and region C

The solution of the system is the common area

so

The solution is the region C

see the attached figure

therefore

the answer is the option C

Region C

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)