You can put this solution on YOUR website! Step One: solve for y
Multiply the entire inequality by 8 to remove the fraction (LCM of 4 and 2)
2x+4y>8
Isolate the y variable
4y > -2x + 8
Divide both sides by 4 ==> this is the linear equation for the inequality.
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Step Two: intercepts
y intercept
the y intercept is 2
plot (0, 2)
x intercept
the x intercept is where y = 0
0 = (-1/2)x + 2
-2 = (-1/2)x
x = 4
plot (4, 0)
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Step Three: graph the inequality
Since y is greater than, not greater than or equal to, the line must be dashed to NOT include the points on the line. (if it were for example, then the line would be solid)
Shade the area above the line, since y is greater than.
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The solution is any coordinates in the shaded region above the dashed line.
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