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Which is the graph of linear inequality 6x + 2y > –10? Image for option 1 Image for option 2 Image for option 3 Image for option 4

Respuesta :

calculista

we have

[tex]6x+2y> -10[/tex]

Isolate the variable y

Subtract [tex]6x[/tex] both sides

[tex]2y> -6x-10[/tex]

Divide by [tex]2[/tex] both sides

[tex]y> -3x-5[/tex]

The equation of the line of this inequality is

[tex]y=-3x-5[/tex]

The slope is negative and is equal to [tex]m=-3[/tex]

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

The x-intercept is the point [tex](-5/3,0)[/tex] ----> 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

The answer in the attached figure


Ver imagen calculista

For this inequality equation the graph is attached below in which the right side area of the line is shaded. Thus the option A is the correct option.

What is inequality equation?

Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.

Given information-

The inequality equation given in the problem is,

[tex]6x + 2y > -10[/tex]

To find the image of the given linear inequality equation, let rearrange the equation as,

[tex]2y > -6x-10[/tex]

Divide the above equation with 2 to get the value of variable [tex]y[/tex]

[tex]y > -3x-5[/tex]

Now the inequality equation for the above equation can be written as,

[tex]y = -3x-5[/tex]

Compare it with the standard equation of line which is,

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

We get,

[tex]m=-3[/tex]

[tex]c=-5[/tex]

Thus the slope of the above line is -3 and the [tex]y[/tex] intersect is -5.

Thus for this inequality equation the graph is attached below in which the right side area of the line is shaded. Thus the option A is the correct option.

Learn more about the inequality equation here;

https://brainly.com/question/17724536

Ver imagen bhoopendrasisodiya34

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