- #1
rooski
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- 0
Homework Statement
let A be any set of numbers and let R and S be relations on A.
if S and R are symmetric then show S o R is symmetric.
if S and R are antisymmetric then show S o R is antisymmetric.
if S and R are transitive then show S o R is transitive.
if S and R are antisymmetric then show S o R is not symmetric.
The Attempt at a Solution
For The first question i would do something like
[tex]\forall a,b \in A : aRb \rightarrow bRa[/tex] and [tex]\forall a,b \in A : aSb \rightarrow bSa[/tex] then show that when combined into a single statement it is valid, right?