document.write( "Question 150464: solve the rational inequality and graph the solution set on a real number line.
\n" ); document.write( "x+12
\n" ); document.write( "----- < 3
\n" ); document.write( "x-9 \n" ); document.write( "
Algebra.Com's Answer #110428 by stanbon(75887)\"\" \"About 
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x+12
\n" ); document.write( "----- < 3
\n" ); document.write( "x-9
\n" ); document.write( "-------------
\n" ); document.write( "Solve the equality:
\n" ); document.write( "x+12 = 3(x-9)
\n" ); document.write( "x+12 = 3x-27
\n" ); document.write( "2x = 39
\n" ); document.write( "x = 19.5
\n" ); document.write( "x cannot be 9; x cannot be -12; x cannot be 19.5
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\n" ); document.write( "Draw a number line and mark -12 and 9 and 19.5 on it.
\n" ); document.write( "-------------
\n" ); document.write( "Check a test point in each resulting interval to find the solution set.
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\n" ); document.write( "Let x = -13, you get (-13+12)/(-13-9)<3; true so solutions in (-inf,-12)
\n" ); document.write( "Let x = 0, you get (0+12)/(0-9) <3; true so solutions in (-12,9)
\n" ); document.write( "Let x = 10, you get (10+12)/(10-9)<3 ; false so no solutions in (9,19.5)
\n" ); document.write( "Let x = 20, you get (20+12)/(20-9)<3 ; true so solutions in (19.5,+inf)
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\n" ); document.write( "Final Answer: (-inf,-12)U(-12,9)U(19.5,+inf)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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