Question

Which graph shows the solution to the system of linear inequalities? y > Two-thirdsx + 3 y ≤ Negative one-thirdx + 2

Answer 1

Answer:

The answer is B on edge

Step-by-step explanation:

Answer 2

Answer:

The solution in the attached figure

Step-by-step explanation:

we have

$y > \frac{2}{3}x+3$ ----> inequality A

The solution of the inequality A is the shaded area above the dashed line $y=\frac{2}{3}x+3$

The slope of the dashed line is positive

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

The x-intercept of the dashed line A is (-4.5,0)

$y\leq -\frac{1}{3}x+2$ ----> inequality B

The solution of the inequality B is the shaded area below the solid line $y=-\frac{1}{3}x+2$

The slope of the solid line is negative

The y-intercept of the solid line B is (0,2)

The x-intercept of the solid line B is (6,0)

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

using a graphing tool

see the attached figure