such that .
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is positive Dividing throughout by ,
Originally Posted by mark1950 such that . Concentrate on one side of the inequality at a time. Solive this, then go on to the next inequality. Solve this (hint: is a factor of the LHS). Then combine the two solutions. Originally Posted by alexmahone is positive Dividing throughout by , divided by is not
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Originally Posted by TheAbstractionist divided by is not I'm aware of the fact; nevertheless dividing by a positive term does not change the inequality. My solution is correct.
I mean if you divide by you should get not In any case, is not a solution.
Hmm...alex, the answer given is 0<x<1 or 1<x<2. Why is it so?
Originally Posted by mark1950 Hmm...alex, the answer given is 0<x<1 or 1<x<2. Why is it so? That's because x=1 is NOT a solution.
Originally Posted by alexmahone I'm aware of the fact; nevertheless dividing by a positive term does not change the inequality. My solution is correct. Think about this example and you'll see you're in error: We can all agree that 2 is positive so by your working: Clearly this is not true and you must divide all parts of the inequality by 2 not just the middle term.
Originally Posted by pfarnall Think about this example and you'll see you're in error: We can all agree that 2 is positive so by your working: Clearly this is not true and you must divide all parts of the inequality by 2 not just the middle term. Fair enough. Sorry.
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