SUBJECT: DISCRETE MATHEMATICS

Question # 01:

List the ordered pairs in the relation R from A = {0, 1, 2, 3, 4} to B = {0, 1, 2, 3}, where (a, b) R iff

a) a = b.b) a + b = 4.c) a > b.d) a | b.e) gcd(a, b) = 1.f ) lcm(a, b) = 2.

Question #02:

If A={-4, -3, -2, -1, 0, 1, 2, 3, 4, 5}. R is defined on A as follows:

For all x, y A, x R y 3| (x-y)