Let A = {x: x ∈ N}, B = {x: x = 2n, n ∈ N), C = {x: x = 2n – 1, n ∈ N} and, D = {x: x is a prime natural number} Find: (i) A ∩ D (ii) B ∩ C

Home » Let A = {x: x ∈ N}, B = {x: x = 2n, n ∈ N), C = {x: x = 2n – 1, n ∈ N} and, D = {x: x is a prime natural number} Find: (i) A ∩ D (ii) B ∩ C

Let A = {x: x ∈ N}, B = {x: x = 2n, n ∈ N), C = {x: x = 2n – 1, n ∈ N} and, D = {x: x is a prime natural number} Find: (i) A ∩ D (ii) B ∩ C

Answers:

Given,

A = {1, 2, 3…..}

B = {2, 4, 6, 8…}

C = {1, 3, 5, 7……}

D = {1, 2, 3, 5, 7, 11, …}

(i) A ∩ D

D ⊂ A = {2, 3, 5, 7..}

∴ A ∩ D = D

(ii) B ∩ C

∴ B ∩ C = ϕ

A natural number cannot be both even and odd.

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