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) B ∩ D (ii) C ∩ D

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) B ∩ D (ii) C ∩ D

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) B ∩ D (ii) C ∩ D

Answers:

Given,

A = {1, 2, 3…..}

B = {2, 4, 6, 8…}

C = {1, 3, 5, 7……}

D = {1, 2, 3, 5, 7, 11, …}

(i) B ∩ D

∴ B ∩ D = 2

The number which is even and a prime number is 2.

(ii) C ∩ D

C ∩ D = {1, 3, 5, 7…}

∴ C ∩ D = D – {2}

Except the number 2, all the other prime numbers are odd.

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