Mathematics
Given that all women are mortal, and suppose that A is a woman, what can we conclude about A?
Related Questions
Let a and b be real numbers such that ab ≠ 0. Then which of the following statements are true? Justify your answers.
(i) Both a and b must be zero.
(ii) Both a and b must be non-zero.
(iii) Either a or b must be non-zero.
Restate the following statements with appropriate conditions, so that they become true.
(i) If a2 > b2, then a > b.
(ii) If x2 = y2, then x = y.
(iii) If (x + y)2 = x2 + y2, then x = 0.
(iv) The diagonals of a quadrilateral bisect each other.
Given that the product of two rational numbers is rational, and suppose a and b are rationals, what can you conclude about ab?