SOLUTION: graph the following inequality -4x-2y>4

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Question 421550: graph the following inequality
-4x-2y>4
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
step number 1.

solve the equation for y

-4x - 2y > 4

add 4x to both sides of the equation to get:

-2y > 4x + 4

divide both sides of the equation by -2 to get:

y < -2x - 2

when you multiply or divide both sides of an inequality by a negative number, it reverses the inequality.

example:

10 > 5

divide both sides by -5 to get:

-2 < -1

multiply both sides by -3 to get:

6 > 3

back to your equation.

you now have y < -2x - 2

step number 2.

graph the equality

your inequality is y < -2x - 2

you graph the equality of y = -2x - 2

that looks like this:

step number 3.

you now go back to your inequality equation of y < -2x - 2

that equation will be true for all value of y that are below the line of the equation.

for example:

when x = 4, the value of y = -2x - 2 becomes -10.

that's on the line.

when x = 4, the value of y < -2x - 2 becomes any value of y that is less than than -10.

that's in the area that's below the line.

for another example:

when x = -2, the value of y equals -2x - 2 becomes 2.

that's on the line.

when x = -2, the value of y < -2x - 2 becomes any value of y that is less than 2.

that's in the area that's below the line.

you graph the line y = -2x - 2 and then you shade the area below the line to get the area on the graph that satisfies the equation y < -2x - 2