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8 votes
8 votes
Which is the graph of linear inequality 6x+2y>-10?

User Bentham
by
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1 Answer

13 votes
13 votes

Answer:

we have

6x+2y > -106x+2y>−10

Isolate the variable y

Subtract 6x6x both sides

2y > -6x-102y>−6x−10

Divide by 22 both sides

y > -3x-5y>−3x−5

The equation of the line of this inequality is

y=-3x-5y=−3x−5

The slope is negative and is equal to m=-3m=−3

The y-intercept is the point (0,-5)(0,−5) ----> value of y when the value of x is equal to zero

The x-intercept is the point (-5/3,0)(−5/3,0) ----> value of x when the value of y is equal to zero

The solution of the inequality is the shaded area above the dotted line

Using a graphing tool

see the attached figure

User Enstage
by
3.3k points
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