# SOLUTION: hi i need some help with graphing inequalities i understand some of it, but not all of it. like for example i need help with y_< 2x+4

Algebra ->  -> SOLUTION: hi i need some help with graphing inequalities i understand some of it, but not all of it. like for example i need help with y_< 2x+4      Log On

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 Click here to see ALL problems on Graphs Question 119403: hi i need some help with graphing inequalities i understand some of it, but not all of it. like for example i need help with y_< 2x+4Answer by Edwin McCravy(9716)   (Show Source): You can put this solution on YOUR website!hi i need some help with graphing inequalities i understand some of it, but not all of it. like for example i need help with ``` First graph just the boundary line, which is the line whose equation is just like the inequality except that it has an equal sign in place of the inequality sign. That is, the boundary line is the line whose equation is Graph that line by finding a couple of points on it. Let x = 0 y = 2x + 4 y = 2(0) + 4 y = 0 + 4 y = 4 So one point is (0,4) Let x = -2 y = 2x + 4 y = 2(-2) + 4 y = -4 + 4 y = 0 So another point is (-2,0) Plot those untercepts and draw a line through them: Now we have to decide which side of that line we are to shade. Arbitrarily pick a point on each side of the line. Substitute their coordinates for x and y in the original inequality. Let's arbitrarily pick, say (3,2) on the right side of that line and substitute it into That is true, so we shade the entire right side of the line which (3,2) is on. Let's arbitrarily pick, say (-4,3) on the left side of that line and substitute it into That is false, so we do not shade the left side of the line which (-4,3) is on. So we shade only the right side of the line. I can't shade on here, so I'll just type "SHADE THIS SIDE" on the right side. What you should know about other problems of this kind is that if the inequality had beem strictly less than, or strictly greater, the line would not be included in the graph and so you would draw it dotted and not solid. Shortcut 1: You only need test one point. If it tests true in the original inequality, then shade that side of the line and do not shade the other side. If it tests false, then do not shade that side but instead shade the other side. Shortcut 2: Choose the origin (0,0) as a test point whenever the line does not go through the origin. Edwin```