7.4 Graphing inequalities

# 7.4 Graphing inequalities - 7.4:GraphingLinearInequalities

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7.4: Graphing Linear Inequalities Unlike an equation in two variables where the solution set is the set of all points that lie on the line, the solution set of a   linear inequality in two variables is the set of all points that fall in the region on one side of the boundary line.  The line is   a boundary between the true and false solutions to the inequality.  To graph a linear inequality: (1) Find points for the  boundary line the same as we did for equations. (2) Draw a solid line if >  or <  symbol is used or a dotted line if the < or  > symbol is used.  (3) Choose a test point on the graph that is not on the line and substitute the coordinates into the   original inequality for x and y; if it yields a true solution, shade the side of the line that contains the point you chose; if  not, shade the opposite side.   Short-cut xy equations:   Solve the inequality for y.   If solving for y shows y < x-

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## This note was uploaded on 01/04/2012 for the course MATH 1033 taught by Professor Patriciabishop during the Fall '11 term at Miami Dade College, Miami.

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7.4 Graphing inequalities - 7.4:GraphingLinearInequalities

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