Question

The coordinate plane below represents a city. Points A through F are schools in the city.

graph of coordinate plane. Point A is at negative 3, negative 4. Point B is at negative 4, 3. Point C is at 2, 2. Point D is at 1, negative 2. Point E is at 5, negative 4. Point F is at 3, 4.

Answer 1

part A)
y < 2*x
y > 4/5*x
The graph will shade below the line y = 2x (not including the line),
and above the line y = 4/5*x (not including the line).
Where the shaded regions overlap is the solution area.
In the graph, the overlapping region is darkest.

part b) verify that point C and point F satisfy the inequalities
plug in point C and point F separately.
you should get a true statement, each time

part c) if we graph
y < -2x + 2
over the plotted points
lets see what points it covers
The shade region covers points A,B,D
so those are the schools she can attend