document.write( "Question 433051: how do I solve this inequality? (x+1)(x-3)/(x+2)(x-4)<0 \n" ); document.write( "
Algebra.Com's Answer #300169 by stanbon(75887)\"\" \"About 
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how do I solve this inequality? (x+1)(x-3)/(x+2)(x-4)<0
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\n" ); document.write( "1st: You find the values that \"x\" cannot have:
\n" ); document.write( "They are: x = -1, or 3 because that would make the fraction = 0
\n" ); document.write( "They are: x = -2, or 4 because that would make the fraction be undefined.
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\n" ); document.write( "2nd Draw a number line and plot those
\n" ); document.write( "unacceptable values -2,-1,3,4
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\n" ); document.write( "3rd Check a test value from each of the
\n" ); document.write( "resulting intervals in the inequality:
\n" ); document.write( "(x+1)(x-3)/(x+2)(x-4)<0
\n" ); document.write( "Note: Just track the sign of each factor:
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\n" ); document.write( "If x = -10 you get; (-*-)/(-*-)<0 ; false
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\n" ); document.write( "If x = -3/2 you get:(-*-)/(+*-)<0; true; solutions in (-2< x <-1)
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\n" ); document.write( "If x = 0 you get (+*-)/(+*-)<0; false
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\n" ); document.write( "If x = 7/2 you get (+*+)/(+*-)<0; true; solutions in (3< x <4)
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\n" ); document.write( "If x = 10 you get (+*+)/(+*+)<0; false
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\n" ); document.write( "Solutions in
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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