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Question 147885: (3-2x)/(4+5x) > 12/x find x? the symbol'>' implies that 'more than'.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! (3-2x)/(4+5x) > 12/x find x
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x cannot be zero and x cannot be -4/5
x cannot be 3/2
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Draw a number line and mark -4/5, 0, and 3/2
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Check a test point in each of the resulting four intervals to find the solution set
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Test x = -1: (3+2)/(4-5) > 12/-1; -5 > -12 ; true ; solutions in (-inf,-4/5)
Test x = -1/5: (3-2/5)/(4-1)>12/(-1/5) ; 1/15>-60 : true;solutions in (-4/5,0)
Test x = 1/2: (3-1)/(13/2)> 12/(1/2); 4/13 > 24 ; false
Test x = 2: (-1)/(14) > 12/2; false
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Fanal Answer: (-inf,-4/5) U (-4/5,0)
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Cheers,
Stan H.
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