document.write( "Question 124603: How do you solve and/or graph inequalities? \n" ); document.write( "
Algebra.Com's Answer #91336 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
How do you solve and/or graph inequalities?
\n" ); document.write( "Let's say you have 3y + 6x <= 12 and you want to graph the solution:
\n" ); document.write( "1st: solve for \"y\"
\n" ); document.write( "y <= -2x+4
\n" ); document.write( "2nd: Graph the equality which is the boundary of the inequality:
\n" ); document.write( "y = -2x+4
\n" ); document.write( "\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-2x%2B4%29\"
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\n" ); document.write( "3rd: Determine what side of the line is the solution for the
\n" ); document.write( "inequality.
\n" ); document.write( "How:
\n" ); document.write( "Take a test point that is not on the boundary, like (0,0)
\n" ); document.write( "Substitute those x/y values into the inequality to see if
\n" ); document.write( "you get a true statement:
\n" ); document.write( "0 < -2*0 +4: This is true so the side with (0,0) is
\n" ); document.write( "the solution set; Shade it.
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\n" ); document.write( "The full solution is the boundary line plus the half-plane
\n" ); document.write( "that contains (0,0).
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\n" ); document.write( "If \"equality\" was not part of the problem, the boundary line
\n" ); document.write( "should be drawn as a dashed line as it is not part of the
\n" ); document.write( "solution. The test point would still reveal which side of
\n" ); document.write( "the dashed line is the solution for the inequality.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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