Q2 of 23 Page 38

A = {0, 2, 4}, find and Comment.

We know that the intersection of sets A and B is the set of all elements which are common to A and B.


We know that ϕ is a Null set which has no elements.


Given A = {0, 2, 4}


⇒ A ⋂ ϕ = {0, 2, 4} ⋂ ϕ = ϕ


⇒ A ⋂ A = {0, 2, 4} ⋂ {0, 2, 4} = {0, 2, 4} = A


Ans. A ⋂ ϕ = ϕ


A ⋂ A = A


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8

Match the roster form with set builder form.

(i) {1, 2, 3, 6}


(ii) {2, 3}


(iii) {M, A, T, H, E, I, C, S}


(iv) {1, 3, 5, 7, 9}


(a) {x : x is prime number and a divisor of 6}


(b) {x : x is an odd natural number smaller than 10}


(c) {x : x is a natural number and divisor of 6}


(d) {x : x is a letter of the word MATHEMATICS}

 1

If A = {1, 2, 3, 4}; B = {1, 2, 3, 5, 6} then find and Are they equal?

 3

If A = {2, 4, 6, 8, 10} and B = {3, 6, 9, 12, 15}, find A – B and B – A.

 4

If A and B are two sets such that then what is