Complete the following table. If a property does not hold give an example to show why it does not hold.
If it does hold, prove or explain why. Use correct symbolism. (Just Yes or No is incorrect)
R = {(a,b) | a,b ∃ Z: : a + b-even
S = {(a,b) | a,b ∃ Z: : a + b-odd
T = {(a,b) | a,b ∃ Z: : a + 2b-even
Relation | Reflexive | Symmetric | Anti Symmetric | Neither Symmetric or anti-symmetric | Transitive |
R | |||||
S | |||||
T |
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