Question

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

Answer 1

Answer:

The graph i the attached figure

Step-by-step 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