document.write( "Question 254893: I'm a little lost on how to solve this problem.
\n" ); document.write( "Solve the rational inequality 3x-1/x-8 ≤ 0 \n" ); document.write( "

Algebra.Com's Answer #187189 by edjones(8007) $\"\"$ $\"About$

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3x-1/x-8 ≤ 0
\n" ); document.write( "This is a rational inequality.
\n" ); document.write( "We have to find the zeros of the numerator and undefined parts from the denominator.
\n" ); document.write( "3x-1=0
\n" ); document.write( "3x=1
\n" ); document.write( "x=1/3
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\n" ); document.write( "when x=8 then x-8 = 0 and the inequality is undefined.
\n" ); document.write( "Now we test points larger and smaller than 1/3 and 8 to see if the fraction is <= 0
\n" ); document.write( "x=0: -1/-8=1/8 is >0
\n" ); document.write( "x=1: 3-1/1-8=2/-7=-2/7 is <0
\n" ); document.write( "x=10 30-1/10-8=29/2 is >0
\n" ); document.write( ".
\n" ); document.write( "1/3<=x<8 or x[1/3, 8)
\n" ); document.write( ".
\n" ); document.write( "Ed
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\n" ); document.write( " $\"graph%28500%2C500%2C-10%2C15%2C-20%2C20%2C%283x-1%29%2F%28x-8%29+%29\"$ \n" ); document.write( "

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