Question

There must be more than 4 campers in a group during free play and the difference between the number of boys, x, and the number of girls, y, can be no more than 5. Which graph represents the system of inequalities for this scenario? On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 5) and (2, negative 3). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 4) and (2, 2). Everything to the left of the line is shaded. On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 5) and (2, negative 3). Everything to the right of the line is shaded. The second dashed line has a negative slope and goes through (0, 4) and (2, 2). Everything to the right of the line is shaded. On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 4) and (4, 0). Everything to the left of the line is shaded. The second dashed line has a positive slope and goes through (0, negative 5) and (5, 0). Everything to the left of the line is shaded. On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 4) and (4, 0). Everything to the right of the line is shaded. The second dashed line has a positive slope and goes through (0, negative 5) and (5, 0). Everything to the right of the line is shaded.

Answer 1

Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x -----> the number of boys
y -----> the number of girls

----->inequality A
The solution of the inequality A is the shaded area above the solid line
The slope of the solid line is positive
The y-intercept of the solid line is (0,-5)
The x-intercept of the solid line is (5,0)
-----> equation B
The solution of the inequality B is the shaded area above the dashed line
The slope of the dashed line is negative
The y-intercept of the solid line is (0,4)
The x-intercept of the solid line is (4,0)
using a graphing tool
the solution of the system of inequalities is the shaded area between the solid line and the dashed line
see the attached figure

Answer 2

Answer:

It's the second graph.

Step-by-step explanation: