If x = –y and y 0, which of the following is wrong?

Question

If x = –y and y > 0, which of the following is wrong?

KollegeApply · Accepted Answer

bb(1/x - 1/y = 0) Explanation: a. x2y > 0 (Correct statement): Since x is a non-zero negative number, its square x2 is positive. Multiplying a positive number (x2) by another positive number (y) always results in a positive value (> 0). b. x + y = 0 (Correct statement): If you add y to both sides of the given equation x = – y, it directly simplifies to x + y = 0. c. xy < 0 (Correct statement): Since x is negative and y is positive, multiplying them together (opposite signs) always results in a negative value (< 0). d. 1/x - 1/y = 0 (Wrong statement): Substituting x = – y into this expression gives: `1/(-y) - 1/y = -1/y - 1/y = -2/y Since y > 0 - 2/y` cannot equal 0. It will always be a negative number.

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