Consider the system of inequalities and its graph.
y ≥ x/4
y ≤ x – 3
in which section of the graph does the actual solution to the system lie?
1
2
3
4
the answer is 3

section 3

Step-by-step explanation:

we have

----> inequality A

The solution of the inequality A is the shaded area above the solid line y=x/4

-----> inequality B

The solution of the inequality B is the shaded area below the solid line y=x-3

therefore

The solution of the system of inequalities is the shaded area in the section 3

see the attached figure

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).