### Discrete Math Final Homework

Question posted
by Islaocs

- Budget: $15 Normal
- Subjects: Computer Science | Painting |
- Due on 07 Aug, 2018 05:56:00
- Asked on 03 Aug, 2018 05:25:43
- Past Due (date has already expired)

**Discrete Math Final Homework**

1

Given S={0,1,2,3,4,5}, find the partition induced by the equivalence relation R where R={(0,0),(0,4),(1,1),(1,3),(4,5),(0,5),(5,4),(5,0),(5,5),(2,2),(3,1),(3,3),(4,0),(4,4)}. Explain.

2

Let A and B be any sets. Prove the following set identity using the laws of set theory (set identities). Justify each step with the law you used. Missing steps and missing justification will be penalized. (1 point)

A ∩(B ∪A’) ∩B’ = Ø

3

Let the relation R = {(0,0), (0,3), (1,0), (1,2), (2,0), (3,2)}

Find R’ the transitive closure of R. (1 point)

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