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in Relations and Functions by (28.2k points)
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Let R be a Relation in the set A = {1, 2, 3, 4, 5, 6} defines as R = {(x,y): y = 2x – 1}

1. Write R in roster form and find it’s domain and range

2. Is R an equivalence relation ? Justify.

1 Answer

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Best 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.

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