If x = - y and y > 0, which of the following is wrong?
Given that x = - y and y > 0
Let us verify all the options by substituting the value of x.
Option A: x2y > 0
⇒ ( - y)2 (y) > 0
⇒ y2(y) > 0
⇒ y3 > 0
Since y > 0, y3 >0 satisfies.
Option B: x + y = 0
⇒ ( - y) + y = 0
0 = 0
LHS = RHS
Hence satisfies.
Option C: xy < 0
⇒ ( - y)(y) < 0
⇒ - y2 < 0
Hence satisfies.
Option D:
⇒
⇒
Since y > 0, also 1/y > 0 but - 2/y <0
Hence, it is not satisfied.