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Graph the inequality. y-2x is less than or equal to -3

1 Answer

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We are given

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

so, we can write it as


y-2x\leq -3

now, we can solve for y

Add 2x on both sides


y-2x+2x\leq 2x-3


y\leq 2x-3

Firstly, we will draw graph for equality


y= 2x-3

We can compare it with slope intercept form of line


y= mx+b

where

m is slope

b is y-intercept


m=2,b=-3

now, we can change inequality

we can check for origin

At x=0 , y=0:


0\leq 2*0-3


0\leq -3

we know that this is false

so, region will be shaded opposite of origin side

so, we get graph as


Graph the inequality. y-2x is less than or equal to -3-example-1
User Vinoth Babu
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