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:

ITS A ON ED.

Step-by-step explanation:

Answer 2

Answer:

The solution in the attached figure

Step-by-step 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)

$y < \frac{x}{2}$ ----> inequality B

The solution of the inequality B is the shaded area below the dashed line $y=\frac{x}{2}$

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