Question

One a piece of paper graph this system of inequalities y<-1/3x+3, y>3x+2

Answer 1

The graph in the attached figure

Explanation:

we have

`y < -(1)/(3)x+3` ----> inequality A

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

The slope of the dashed line is negative

The y-intercept of the dashed line is 3

The x-intercept of the dashed line is 9

`y > 3x+2` ----> inequality B

The solution of the inequality B is the shaded area above the dashed line
`y=3x+2`

The slope of the dashed line is positive

The y-intercept of the dashed line is 2

The x-intercept of the dashed line is -2/3

The solution of the system of inequalities is the shaded area between the two dashed lines

see the attached figure