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You can put this solution on YOUR website!
Comment: To graph inequalities you have to ALWAYS graph
\n" ); document.write( "the associated equality first, then determine which of
\n" ); document.write( "the two half-planes determined by the equality is part
\n" ); document.write( "of the solution set.
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\n" ); document.write( "\n" ); document.write( "Problem 1 Graph the inequality.
\n" ); document.write( " y >=3x
\n" ); document.write( "1st: Graph y=3x as a line passing through (0,0), (1,3)
\n" ); document.write( "2nd: Pick a test point that is not on the line: say (2,5)
\n" ); document.write( "Test those test point values in the inequlity to see if
\n" ); document.write( "that point is in the half-plane solution, as follows:
\n" ); document.write( "With test point (2,5) you would get 5>3*2
\n" ); document.write( "That is wrong so you know that point is not in the half-plane
\n" ); document.write( "solution set; the other half-plane is the one you want: darken it.
\n" ); document.write( "3rd: You can now conclude which half-plane is the solution
\n" ); document.write( "set of the inequality.
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\n" ); document.write( "\n" ); document.write( "Problem 2
\n" ); document.write( " Graph the inequality.
\n" ); document.write( " 2x + 3y > 6
\n" ); document.write( "1st: Graph y=-(2/3)x+2 as a dashed line
\n" ); document.write( "2nd: Pick a test point like (0,0)
\n" ); document.write( "3rd: Substitute to see how it fits the inequality:
\n" ); document.write( "2*0+3*0 >6
\n" ); document.write( "That is false
\n" ); document.write( "4th: the solution half-plane is on the other side of the dashed line:
\n" ); document.write( "darkent it.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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