Given statement is 'if x = y, then `x^(2) = y^(2)`, and the statement are
(i) If x = y, then `x^(2) ne y^(2)`
(ii) If `x ne y`, then `x^(2) = y^(2)`
(iii) `x ne y` or `x^(2) = y^(2)`
(iv) If `x^(2) ne y^(2)`, then `x ne y`
Which of the statement are equivalent to the given statement ?

Options

A. (i) and (iii)
B. (ii) and (iv)
C. (i) and (iv)
D. (ii) and (iv)

Answer

D

Explanation

Given statement is `p to q`.
We know that, `p to q -= ~ q to ~ p -= ~ p vv q`.
So, statements (iii) and (iv) are equivalent to given statement.