document.write( "Question 72106: Solve this inequalty:3x - 2y > -12 \n" ); document.write( "
Algebra.Com's Answer #51539 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
To solve linear inequalities with two variables, you can use graphing.
\n" ); document.write( "First solve the inequality for the y-variable.
\n" ); document.write( "\"3x-2y+%3C+-12\" Add 2y to both sides.
\n" ); document.write( "\"3x+%3C+2y-12\" Now add 12 to both sides.
\n" ); document.write( "\"3x%2B12+%3C+2y\" Finally divide both sides by 2.
\n" ); document.write( "\"%283%2F2%29x%2B6+%3C+y\" Now you graph this inequality by treating it like an equation and then graphing the linear equation.
\n" ); document.write( "But note that because the sign of the inequality is < the line on the graph should be a dashed line rather than a solid line. I don't know how to show a dashed lined.
\n" ); document.write( "So you will graph:
\n" ); document.write( "\"y+=+%283%2F2%29x%2B6\"
\n" ); document.write( "\"graph%28300%2C200%2C-5%2C5%2C-5%2C7%2C%283%2F2%29x%2B6%29\"
\n" ); document.write( "Now you need to shade the area of the graph that contains solutions to the inequality. For this you will need a \"test point\" or two to determine which side of the line to shade.
\n" ); document.write( "Let's try test point (0, 0) and put these values of x and y in the original inequality to see whether or not it is a solution.
\n" ); document.write( "\"3%280%29-2%280%29+%3E+-12\"
\n" ); document.write( "\"0+%3E+-12\" This is true, so the point (0, 0) is a solution and should fall within the shaded area of the graph.
\n" ); document.write( "Now try a point on the other side of the line, (-5, 4)
\n" ); document.write( "\"3%28-5%29-2%284%29+%3E+-12\"
\n" ); document.write( "\"-15-8+%3E+-12\"
\n" ); document.write( "\"-23+%3E+-12\" This is not true so the point (-5, 4) is not a solution and should fall on the un-shaded side of the line.
\n" ); document.write( "So, on the graph, you need to shade the area below and to the right of the \"dashed\" line.
\n" ); document.write( "This is the area that contains the solutions to the inequality. \n" ); document.write( "
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