SOLUTION: I am having trouble with this problem for "graph of linear equalities".will you please help me solve this one?6x-y>6

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Question 411546: I am having trouble with this problem for "graph of linear equalities".will you please help me solve this one?6x-y>6
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
6x - y > 6 is a linear inequality.
subtract 6x from both sides of the equation to get:

-y > 6 - 6x

multiply both sides of the equation by -1 to get:

y < 6x - 6

note that multiplying both sides of an inequality by -1 reverses the inequality.

2 > 1

multiply both sides by -1 and you get -2 < -1

you graph the inequality of y < 6x-6 by graphing the equality of y = 6x-6 and then shading the area under the line created.

the graph of y = 6x - 6 is shown below:

graph%28600%2C600%2C-5%2C5%2C-20%2C20%2C6x+-+6%2C12%2C6%29

the area under that line is the area that you want.

any point in that area will satisfy the equation of y < 6x - 6

take x = 3,

this makes y = 12

any value of y < 12 will be under the line at x = 3 which puts it in the shaded area.

I showed the line y = 12 to show you where the dividing line would be when x = 3.

when x = 3, any value of y equal to or greater than 12 will not satisfy the equation of y < 6x - 6.

when x = 2, any value of y less than 6 would satisfy the equation.

I showed the line y = 6 to how you where the dividing line would be when x = 2.