Question

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

Answer 1

B

Explanation:

On edge 2021

Answer 2

The solution in the attached figure

Explanation:

we have

`y > (2)/(3)x+3` ----> inequality A

The solution of the inequality A is the shaded area above the dashed line
`y=(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 -(1)/(3)x+2` ----> inequality B

The solution of the inequality B is the shaded area below the solid line
`y=-(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