document.write( "Question 848585: Hi I have to solve the following rational inequality:
\n" ); document.write( "2/x+1 <= 4/x-3
\n" ); document.write( "The first thing I did was to set it to 0.
\n" ); document.write( "2/x+1 - 4/x-3 <= 0
\n" ); document.write( "Then I multiplied by the lcd:
\n" ); document.write( "2(x-3)-4(x+1)/(x-3)(x+1)
\n" ); document.write( "Then I combined the numerator's like terms and placed that over the lcd:
\n" ); document.write( "-2x-10/(x+1)(x-3)<= 0
\n" ); document.write( "Then I set each part equal to 0.
\n" ); document.write( "x-3=0, x+1=0, -2x-10=0
\n" ); document.write( "So i got x= 3, x=-1, x=-5
\n" ); document.write( "Then I put it on a number line, which broke it up into 4 intervals
\n" ); document.write( "(-infinite, -5), (-5,-1), (-1,3), (3,infinite)
\n" ); document.write( "I found that in testing possible intervals that the two intervals that worked were (-infinite, -5] and [3, infinite)
\n" ); document.write( "I was wondering if I did this correctly, and did I need to set up restrictions? Thank you for any help!!!!!
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Algebra.Com's Answer #511197 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
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document.write( "Hi,
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document.write( "y =
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document.write( "x = -5,a root.   Good Work.
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document.write( "Note:  asymptotes:  x = -1  and x = 3
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document.write( "Graphing:  x = [5,-1) U (3,∞ )
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