Answer by user654868 for Prove that relation "a - b is even" is an...
In general, proving that an integer is even requires showing that this number can be written in the form : 2 times some integer. So, carrying the proof of symmetry to its completion would require,...
View ArticleAnswer by Matthew Daly for Prove that relation "a - b is even" is an...
What you have looks great so far. Transitivity is usually the longest section of the proof, but it is very often the same basic idea as symmetry.So here, you want to want to take $a,b,c$ to be...
View ArticleProve that relation "a - b is even" is an equivalence relation
I have a relation $R$ defined on the set of integers as follows:$(a,b) \in R ⇔ a-b\text{ is even}$I have to prove that $R$ is an an equivalence relation. What I have:I first check whether $R$ is...
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