Respuesta :

Step-by-step explanation:

you can convert both inequalities to slope intercept form and then graph it.

So 4x+y>-1 would convert to y>-4x-1

And x+y ≥ 2 would be y≥-x+2

Then graph it

Working with the first one

4x+y > -1

Treat as an equation and find the x and y intercept

4x+y= -1

when x=0

4(0)+y = -1

y= -1

(0,-1)

when y=0

4x+0=-1

4x= -1

divide both sides by 4

x= -1/4 or -0.25

(-0.25, 0)

working with the second one

x+y≥2

same process

when x=0

0+y=2

y=2

(0,2)

when y=0

x+0=2

x=2

(2,0)

Now on your graph you have to plot the points (0, -1) ,( -0.25,0), (0,2) ,(2,0) using an appropriate scale