document.write( "Question 644607: Convert into set notation\r
\n" ); document.write( "\n" ); document.write( "(x+16)/(3x+2)<=5 \n" ); document.write( "
Algebra.Com's Answer #405178 by stanbon(75887)\"\" \"About 
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Convert into set notation
\n" ); document.write( "(x+16)/(3x+2)<=5
\n" ); document.write( "(x+16)/(3x+2) -5 <= 0
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\n" ); document.write( "x cannot be -2/3.
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\n" ); document.write( "Solve (x+16)/(3x+2) > 5
\n" ); document.write( "x+16 > 15x+10
\n" ); document.write( "14x < 6
\n" ); document.write( "x < 7/3
\n" ); document.write( "Draw a number line and plot x = -2/3 x = 7/3
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\n" ); document.write( "Check a test value in each of the number line intervals.
\n" ); document.write( "Let x = -10; you get (5/-28)-5 <= 0 ; true
\n" ); document.write( "So solutions in (-oo,-2/3)
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\n" ); document.write( "Let x = 0; you get (16/2)-5 <= 0 ; false
\n" ); document.write( "So no solutions in (-2/3,7/3)
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\n" ); document.write( "Let x = 3; you get (19/11)-5 <= 0 ; true
\n" ); document.write( "So solutions in (7/3,+oo)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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