True or false, write true of each false sentence. a) ____________________ A x (B

Question

True or false, write true of each false sentence.

a) ____________________ A x (B x C) (A x B) x C. b) ____________________________Inverse of a relation from A to B is a relation from A to B. c) ______________ Digraph of a relation R is the same as the digraph of R^-1 d) ________ (A x Phi) = Phi e) ___________ Phi is a relation from A to B. f) ____________The A x B is relation from A to B. g) ________________ A x (B intersection C) = (A x B) intersection (A x C). h) ____________ (A x B) union (C x D) = (A union C) x (B union D).

Explanation / Answer

1. True, bcoz AX(BXC) = (AXB)XC

2. False, bcoz inverse is a relation from B to A

3. False, digraph directions are reversed

4. True

5. True, null is a relation toA similarly from A to B

6. True, AXB is a relation from A to B

7. True

8. True

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