document.write( "Question 82541: graph the inequality 3x+y<=5 Please show me how you get the answer. \n" ); document.write( "

Algebra.Com's Answer #59148 by stanbon(75887) $\"\"$ $\"About$

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graph the inequality 3x+y<=5 Please show me how you get the answer.
\n" ); document.write( "-------
\n" ); document.write( "To graph any INEQUALITY you have to first graph the EQUALITY
\n" ); document.write( "which is the boundary of INEQUALITY:
\n" ); document.write( "Graph y=-3x+5
\n" ); document.write( " $\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-3x%2B5%29\"$
\n" ); document.write( "Then:
\n" ); document.write( "Pick a test point that is not on the line, say (0,0)
\n" ); document.write( "Substitute that into the INEQUALITY: 3*0+0<5; 0+0<5; 0<5
\n" ); document.write( "That is false; that tells you the half-plane containg (0,0)
\n" ); document.write( "is NOT in the solution set;
\n" ); document.write( "Therefore the solution set is the half-plane on the other
\n" ); document.write( "side of the boundary line.
\n" ); document.write( "Darken it.
\n" ); document.write( "Final Solution for your problem: The line together with the darkened
\n" ); document.write( "half-plane.
\n" ); document.write( "=============================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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