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?
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Answer 1

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x -----> the number of boys

y -----> the number of girls

$x-y \leq 5$

$y \geq x-5$ ----->inequality A

The solution of the inequality A is the shaded area above the solid line $y=x-5$

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)

$x+y >4$ -----> equation B  

The solution of the inequality B is the shaded area above the dashed line $y=-x+4$

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:

The answer is B. Just took the test

Step-by-step explanation: