document.write( "Question 371700: when we graph the inequality 4x-3y greater than or equal to 0 why can't we use (0,0) as a test point? if we test the point (6,-5), do we obtain a false statement or a true one? \n" ); document.write( "
Algebra.Com's Answer #264753 by stanbon(75887)\"\" \"About 
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when we graph the inequality 4x-3y greater than or equal to 0 why can't we use (0,0) as a test point? if we test the point (6,-5), do we obtain a false statement or a true one?
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\n" ); document.write( "That inequality simplifies to:
\n" ); document.write( "4x-3y >=0
\n" ); document.write( "y <= (4/3)x
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\n" ); document.write( "The boundary of the inequality is y = (4/3)x
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\n" ); document.write( "(0,0) is on the boundary line. It satisfies the
\n" ); document.write( "equality but cannot be used to test the inequality
\n" ); document.write( "because it is on the boundary line. You have
\n" ); document.write( "to use a test point that is not on the boundary.
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\n" ); document.write( "Using (6,-5) you get -5 < (4/3)(6)
\n" ); document.write( "-5 < 8
\n" ); document.write( "That is true so the half-plane containing (6,-5)
\n" ); document.write( "is the solution set for the inequality.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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