# SOLUTION: I have two problems i am unable to do can you help. thanks Problem 1 Graph the inequality. y >=3x Problem 2 Graph the inequality. 2x + 3y > 6

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 Question 88290: I have two problems i am unable to do can you help. thanks Problem 1 Graph the inequality. y >=3x Problem 2 Graph the inequality. 2x + 3y > 6 Answer by stanbon(60776)   (Show Source): You can put this solution on YOUR website!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. -------------------- 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. ------------------------ 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. =============== Cheers, Stan H.