Question

Write the relation R defined by = {( + 1, + 3): ∈ {0,1,2,3,4}} in roster form

Answer 1

Answer:

1. R ={(1, 1), (2, 3), (3, 5)}

Domain = {1, 2, 3} ; Range ={1, 3, 5}

2. Since (2, 2) ∉ R, R is not reflexive

(2, 3) ∈ R but (3, 2) ∉ R

R is not symmetric.

(2, 3) ∈ R, (3, 5) ∉ R but, (2, 5) ∉ R

R is not transitive

∴ R is not an equivalence relation.