SOLUTION: how do you graph this equation y>3x+4

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Question 21604: how do you graph this equation y>3x+4
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
Y>3X+4...PLOT Y=3X+4 AS USUAL BY GIVING DIFFERENT VALUES TO X AND FINDING Y AS TABULATED BELOW
X.......0........1........2...........-1...........-2
Y.......4........7........10...........1...........-2
THE GRAPH WILL LOOK LIKE THIS
+graph%28+300%2C+300%2C+-10%2C+10%2C+-30%2C+40%2C+3%2Ax%2B4%29+
YOU GET A STRAIGHTLINE.....ON THIS LINE ANY POINT WILL SATISFY THE GIVEN EQUATION .NOW WE FIND THAT ORIGIN IS ON ONE SIDE OF THE LINE.LET US TEST THE ORIGIN IN THE ABOVE EQN.WE FIND THAT
Y=0 AND 3X+4=3*0+4=4...SO Y<3X+4...HENCE THE REGION FROM THE LINE TOWARDS OR IN THE DIRECTION TOWARDS ORIGIN IS FOR Y<3X+4.BUT WE WANT THE REGION WHERE Y>3X+4....OBVIOUSLY ,IT IS THE REGION FROM THE LINE SPREADING TO THE OTHERSIDE OR POINTING AWAY FROM THE ORIGIN .