Respuesta :

We are given

y-2x is less than or equal to -3

so, we can write it as

[tex]y-2x\leq -3[/tex]

now, we can solve for y

Add 2x on both sides

[tex]y-2x+2x\leq 2x-3[/tex]

[tex]y\leq 2x-3[/tex]

Firstly, we will draw graph for equality

[tex]y= 2x-3[/tex]

We can compare it with slope intercept form of line

[tex]y= mx+b[/tex]

where

m is slope

b is y-intercept

[tex]m=2,b=-3[/tex]

now, we can change inequality

we can check for origin

At x=0 , y=0:

[tex]0\leq 2*0-3[/tex]

[tex]0\leq -3[/tex]

we know that this is false

so, region will be shaded opposite of origin side

so, we get graph as


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