Question

Consider this system of inequalities. x + y ≤ –3 y < StartFraction x Over 2 EndFraction Which graph shows the solution for this system?

Answer 1

Answer: It's A

Explanation:

Answer 2

The solution in the attached figure

Explanation:

we have

`x+y\leq -3` ---> inequality A

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

The slope of the solid line is negative

The y-intercept of the solid line is (0,-3)

The x-intercept of the solid line is (-3,0)

`y < (x)/(2)` ----> inequality B

The solution of the inequality B is the shaded area below the dashed line
`y=(x)/(2)`

The slope of the dashed line is positive

The y-intercept of the dashed line is (0,0)

The x-intercept of the dashed line is (0,0)

so

Using a graphing tool

The solution of the system of inequalities is the shaded area below the solid line and below the dashed line

see the attached figure