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Inequality, plugging in numbers?
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09 Oct 2018, 03:28
09 Oct 2018, 03:28
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GIVEN: x² < x
Quantity A: x
Quantity B: 0
I have a question about this quantitative comparison. My reasoning for A, x is bigger than 0, was that you can square a fraction, say 1/2 which gets smaller, 1/4, so x is bigger than 0. Is this valid reasoning? I learned from Magoosh to plug in numbers, which mostly works. The book provide a different kind of explanation.
Quantity A: x
Quantity B: 0
I have a question about this quantitative comparison. My reasoning for A, x is bigger than 0, was that you can square a fraction, say 1/2 which gets smaller, 1/4, so x is bigger than 0. Is this valid reasoning? I learned from Magoosh to plug in numbers, which mostly works. The book provide a different kind of explanation.
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Re: Inequality, plugging in numbers?
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09 Oct 2018, 07:17
09 Oct 2018, 07:17
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Monco wrote:
I have a question about this quantitative comparison. My reasoning for A, x is bigger than 0, was that you can square a fraction, say 1/2 which gets smaller, 1/4, so x is bigger than 0. Is this valid reasoning? I learned from Magoosh to plug in numbers, which mostly works. The book provide a different kind of explanation.
That's a valid approach.
Another option is to fiddle with the given inequality x² < x
Since x² must be POSITIVE, we can safely divide both sides of the inequality by x²
When we do so, we get: 1 < x/x²
Simplify to get: 1 < 1/x
From this last inequality we can see that x must be POSITIVE
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Re: Inequality, plugging in numbers? [#permalink]
09 Oct 2018, 07:17
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