Question

Which graph represents the following system of inequalities?
y > 2x - 5
y <-3x

Answer 1

The graph i the attached figure

Explanation:

we have

`y > 2x-5` ----> inequality A

The solution of the inequality A is the shaded area above the dotted line
`y=2x-5`

The slope of the dotted line is positive

The x- intercept of the dotted line is the point (2.5,0)

The y- intercept of the dotted line is the point (0,-5)

`y < -3x` -----> inequality B

The solution of the inequality B is the shaded area below the dotted line
`y=-3x`

The slope of the dotted line is negative

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

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

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

see the attached figure