document.write( "Question 727814: x^2+3x/x^2-36 less than or equal to 0
\n" ); document.write( "It says solve the inequality \n" ); document.write( "
Algebra.Com's Answer #445191 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
It says solve the inequality
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\n" ); document.write( "(x^2+3x)/(x^2-36) <= 0
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\n" ); document.write( "Factor:
\n" ); document.write( "(x(x+3))/[(x-6)(x+6)] <= 0\r
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\n" ); document.write( "Critical value are x = -6,-3,0,6
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\n" ); document.write( "Draw a number line and plot those x values
\n" ); document.write( "The equality is true for x = 0 and for x = -3
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\n" ); document.write( "Test the inequality for a value in each of the 5 intervals defined by those
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\n" ); document.write( "(x(x+3))/[(x-6)(x+6)] <= 0
\n" ); document.write( "Test x = -10:: -*-/-*- <= 0 ; false
\n" ); document.write( "Test x = -5::: -*-/-*+ <= 0 ; true
\n" ); document.write( "Test x = -1::: -*+/-*+ <= 0 ; false
\n" ); document.write( "Test x = 3:::: +*+/-*+ <= 0 ; true
\n" ); document.write( "Test x = 10::: +*+/+*+ <= 0 ; false
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\n" ); document.write( "Solutions: (-6,-3]U[0,6)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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