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Suppose S is a set of universes and A, B is a subset of S. Prove the following statement that A B = A Bc
- Suppose S is a set of universes and A, B is a subset of S. Prove the following statement that A B = A Bc
- Prove using the table of truth that [p (p q)] q is a tautology.
- Suppose R is a set of real numbers and R is a relation to R where for each a, b R, aRb if and only if a b is divisible by 4. Prove that R is an equivalent relation to R .
- Suppose f: R R and g: R R with f(x) = x 2 4 and g(x) = 5 2x. Specify f. g and the region of origin of (D(f. g)).
- Suppose f: R R and g: R R with f(x) = 4x 2 and g(x) = 3x 2 4. Specify a. compositional functions of f and g, (f g) and their domains. b. inverse of f, (f1).
- Prove by using mathematical induction that n3 + 2n is divisible by 3 for each n .
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