Question 216061
step by step, how you would go about graphing the following inequality. 
X + 2y ≥ 6 
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Since it's a straight line, only 2 points are needed, any 2 points.
View it as an equation to find 2 points:
x + 2y = 6
Let x = 0: y = 3 --> (0,3)
Let y = 0: x = 6 --> (6,0)
Plot the 2 points and draw a straight line thru them.
The line has a negative slope, descends as you go left to right.
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The inequality is the area above and to the right of the line, and includes the line.  For all points in that area, x + 2y is greater than or equal to 6.
For example, the point (5,5) --> 5+10 = 15.  15 is greater than 6.