document.write( "Question 70683: Please show me the steps to solve this.\r
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document.write( "graph the region decribed by the inequality\r
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document.write( "-4>=2y\r
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document.write( "Thanks so much \n" );
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Algebra.Com's Answer #50461 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Please show me the steps to solve this. \n" ); document.write( "graph the region decribed by the inequality \n" ); document.write( "-4>=2y \n" ); document.write( "----------- \n" ); document.write( "1st: Solve for y, as follows: \n" ); document.write( "y<=-2 \n" ); document.write( "2nd: To graph an INequality you must first graph the corresponding EQuality. \n" ); document.write( "In you case that is y=-2 \n" ); document.write( "Find two points to determine the line: \n" ); document.write( "If x-0, y=-2 giving you point (0,-2) \n" ); document.write( "If x=3, y=-2 giving you point (3,-2) \n" ); document.write( "Plot those two points and draw a solid line thru them. \n" ); document.write( "That is the boundary of the INequality and it is the graph of the EQuality. \n" ); document.write( "Now to find the graph of the INequality: \n" ); document.write( "pick a point on either side of the line, like (0,0) \n" ); document.write( "Substitute those x and y values into the INequality to see if \n" ); document.write( "the side that point is on is the solution side for the INequality. \n" ); document.write( "If y<-2, substituting (0,0) you get 0<-2 \n" ); document.write( "This is false. \n" ); document.write( "So the solution set is not on the (0,0) side; it is on the other side. \n" ); document.write( "By the way, those sides are called half-planes. \n" ); document.write( "Darken or shade or hatch the side that is the solution side. \n" ); document.write( "Conclusion: The line and the correct half-plane together are the \n" ); document.write( "solution set for your original problem. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "Hope this helps. \n" ); document.write( " \n" ); document.write( " |