Write down the converse and the contrapositive of each of the following implications.(a) [...

Write down the converse and the contrapositive of each of the following implications.

(a) [BB] If and arc integers, then is an integer.

(b) x2 = 1 → + x = ± 1.

(c) If x2 = x + 1, then or .

(d) If n is an odd integer, then n2 + n − 2 is an even integer.

(e) [BB] Every Eulerian graph is connected.

(f) ab = 0 → a = 0 or b = 0.

(g) A square is a four-sided figure.

(h) [BB] If ΔBAC is a right triangle, then a2 = b2 +c2.

(i) If p(x) is a polynomial of odd degree, then p(x) has at least one reai root.

(j) A linearly independent set of vectors contains at most n vectors.

(k) For any real numbers x and y, if x ≠ y and x2 + xy + y2 + x + y = 0, then f is not one-to- one.

(l) [BB] If there exist real numbers x and y with x ≠ y and x2 + xy + y2 +x + y = 0, then f is not one-to- one.