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# Binary Relations watch

1. I'm currently at uni and have been doing some "maths" style coursework, this is mostly on relations etc...

Anyway, I've read through alot of my notes but I just can't understand this...

Any help greatly appreciated, thanks!
2. Actually I've done 1. just don't have a clue for 2.

3. You clearly do from doing 1.

2.

If word A and word B have the same first 8 charachters, as do word B and word C then what can you say about word A and word C?

Will (name1,name1) be in the relation?

For symmetry/antisymmetry consider the cases where the names have more than 8, less than 8 or one more one less
4. Ah right, I see, yeh I have a simple definition,

Are they Transitive as A B are the same and B C and A and C?
5. Yep it is transitive!
6. Brilliant! thank you!

The last part of this section...

7. Can you show that it is an equivalence relation? (reflexive, symmetric, transitive)
If you follow the hint, then the partition should become apparent
8. Hmmm, this one really has got me out
9. (Original post by Mrhillmichael)
Hmmm, this one really has got me out
Reflexivity: for any integer x, is (x+x) divisible by 2?

Symmetry: If (x+y) is divisible by 2, then is (y+x) also?

Transitivity: If (x+y) and (y+z) are divisible by 2, then is (x+z) also?

For Part 2 (the partition) then for what values of x is (0+x) divisible by 2?
Also for what values of x is (1+x) divisible by 2?

Have we missed out any integer values of x in the above two classes?
10. Is it reflexive?
11. (x+x) = 2x.

If x is an integer is this divisible by 2?

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