Question 88290
Comment: To graph inequalities you have to ALWAYS graph
the associated equality first, then determine which of 
the two half-planes determined by the equality is part
of the solution set.
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Problem 1  Graph the inequality.
	y >=3x
1st: Graph y=3x as a line passing through (0,0), (1,3)
2nd: Pick a test point that is not on the line: say (2,5)
Test those test point values in the inequlity to see if
that point is in the half-plane solution, as follows:
With test point (2,5) you would get 5>3*2
That is wrong so you know that point is not in the half-plane
solution set; the other half-plane is the one you want: darken it.  
3rd: You can now conclude which half-plane is the solution
set of the inequality.
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Problem 2
   Graph the inequality.
	2x + 3y > 6
1st: Graph y=-(2/3)x+2 as a dashed line
2nd: Pick a test point like (0,0)
3rd: Substitute to see how it fits the inequality:
2*0+3*0 >6
That is false
4th: the solution half-plane is on the other side of the dashed line:
darkent it.
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Cheers,
Stan H.