Question

If P = {x : x is a multiple of 3, 1 < x < 20} and Q = {x : x is an even natural number < 15} then find P ∩ Q

Answer 1

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P = {x : x is a multiple of 3, 1 < x < 20}

P = { 3, 6, 9, 12, 15, 18 }

Q = {x : x is an even natural number < 15}

Q = { 2, 4, 6, 8, 10, 12, 14 }

So, P ∩ Q = { 6, 12 }

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Answer 2

Step-by-step explanation:

A={x:xis a natural number}={1,2,3,4,5.....}

B={x:x is an even natural number}={2,4,6,8.....}

C={x:x is an odd natural number}={1,3,5,7,9.......}

D={x:xis a prime number}={2,3,5,7....}

(i) A∩B={x:x is a even natural number}=B

(ii) A∩C={x:x is an odd natural number}=C

(iii) A∩D={x:x is a prime number}=D

(iv) B∩C=ϕ

(v) B∩D={2}

(vi) C∩D={x:xis odd prime number}

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