Given the following set: 1. X = {1, 2, 3, 4, 5} defined by the rule (x, y) ∈ R if x + y ≤ 6 a. List the elements of R b. Find the domain of R c. Find the range of R d. Draw the digraph e. Properties of the Relation
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Let's list the elements of R:
Find the domain of the relation:
Find the range of the relation:
Draw the digraph:
Find properties of the Relation:
so R is not reflexive
so R is not irreflexive
If then so - R is symmetric relation.
, but so R is not transitive relation.