The question below is a 5051-level problem, and an inequality problem that ignores squared numbers
(ex 2) (inequality) If x and y are positive, is y/x > x/y?
1) y>x
2) y=x+2
==> If you change the original condition and the problem, since x and y are positive numbers, the sign of inequality does not change even if both sides are multiplied by xy. If so, in y/x>x/y?, y2-x2>0?, (y-x)(y+x)>0?, y+x>0, thus, y-x>0?, y>x?. In the case of 1) the answer is yes, and in the case
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(ex 2) (inequality) If x and y are positive, is y/x > x/y?
1) y>x
2) y=x+2
==> If you change the original condition and the problem, since x and y are positive numbers, the sign of inequality does not change even if both sides are multiplied by xy. If so, in y/x>x/y?, y2-x2>0?, (y-x)(y+x)>0?, y+x>0, thus, y-x>0?, y>x?. In the case of 1) the answer is yes, and in the case
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