document.write( "Question 70683: Please show me the steps to solve this.\r
\n" ); document.write( "\n" ); document.write( "graph the region decribed by the inequality\r
\n" ); document.write( "\n" ); document.write( "-4>=2y\r
\n" ); document.write( "\n" ); document.write( "Thanks so much
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Algebra.Com's Answer #50461 by stanbon(75887)\"\" \"About 
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
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\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.
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