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BYou are given that x2y > 0, which means that the product of the two numbers x2 and y is positive. Recall that the product of tw
BYou are given that x2y > 0, which means that the product of the two numbers x2 and y is positive. Recall that the product of tw
admin
2014-08-12
29
问题
选项
答案
B
解析
You are given that x
2
y > 0, which means that the product of the two numbers x
2
and y is positive. Recall that the product of two numbers is positive only if both numbers are positive or both numbers are negative. The square of a number is always greater than or equal to 0. In this case, x
2
cannot equal 0 because the product x
2
y is not 0. Thus, x
2
is positive and it follows that y is also positive.
You are also given that xy
2
< 0, which means that the product of the two numbers x and y
2
is negative. The product of two numbers is negative only if one of the numbers is negative and the other number is positive. In this case, y
2
cannot be negative because it is the square of a number, and it cannot be 0 because the product x
2
y is not 0. Thus, y
2
is positive and so x must be negative.
Because x is negative and y is positive, y must be greater than x, and the correct answer is Choice B.
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