Re: If x is a non-zero integer and 0 < y < 1, which of the follo
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29 Jun 2023, 21:35
0<y<1, so y is a positive fraction
x is a non-zero integer, so, x could be either positive or negative.
Just plugging in any negative ineteger values for x, say -2, we can eliminate A, B, and C.
For D and E, x^2 is always positive regardless of the value of x.
For D, if x=2 and y = 1/2, we get (2)^2*(1/2)=2, which is >1
However, if x=1, then (1)^2*1/2=1/2, which is < 1.
So, only option left is E.
The logic behind E is if we divide an integer by a positive fraction, it's always greater than 1, because big/small=bigger
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