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Q.3 Let A = { 1, 2, { 3, 4 }, 5 }. Which of the following statements are incorrect and why?

(viii) {1,2,3} \subset A

Q.3 Let A = { 1, 2, { 3, 4 }, 5 }. Which of the following statements are incorrect and why?

(ix) \phi \in A

Q.3 Let A = { 1, 2, { 3, 4 }, 5 }. Which of the following statements are incorrect and why?

(x) \phi \subset A

Q.3 Let A = { 1, 2, { 3, 4 }, 5 }. Which of the following statements are incorrect and why?

(xi) \left \{ \phi \right \} \subset A

Q.7 Write the following intervals in set-builder form : 

(i) (– 3, 0) 

(ii) [6 , 12]

(iii) (6, 12]

(iv) [–23, 5)

Q.8 What universal set(s) would you propose for each of the following :

(i) The set of right triangles.

(ii) The set of isosceles triangles.

Q.9 Given the sets A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}, which of the following may be considered as universal set (s) for all the three sets A, B and C

(i) {0, 1, 2, 3, 4, 5, 6} 

(ii)  \phi

(iii) {0,1,2,3,4,5,6,7,8,9,10}

(iv) {1,2,3,4,5,6,7,8}

    Q.1 Find the union of each of the following pairs of sets :

    (i) X = {1, 3, 5}                                           Y = {1, 2, 3}

Q.1 . Find the union of each of the following pairs of sets :

 (ii)   A = [ a, e, i, o, u}          B = {a, b, c}

Q.1 Find the union of each of the following pairs of sets :    

(iii)   A = {x : x is a natural number and multiple of 3}                       B = {x : x is a natural number less than 6}

Q.1 Find the union of each of the following pairs of sets :

(iv)  A = {x : x is a natural number and 1 < x \leq6 }

       B = {x : x is a natural number and 6 < x <10 }

Q.1  Find the union of each of the following pairs of sets :

(v).    A = {1, 2, 3}                     B = \phi

Q.2 Let A = { a, b }, B = {a, b, c}. Is A \subset B ? What is A \cup B ?

Q.3 . If A and B are two sets such that A \subset B, then what is A \cup B ?

Q. 4 . If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8 }and D = { 7, 8, 9, 10 }; find

(i) A \cup B

Q.4 If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8 }and D = { 7, 8, 9, 10 }; find

(ii) A \cup C 

    Q. 4 If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8 }and D = { 7, 8, 9, 10 }; find

    (iii)  B \cup C 

Q.4 If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8 }and D = { 7, 8, 9, 10 }; find

(iv) B \cup D

Q. 4 If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8 }and D = { 7, 8, 9, 10 }; find

(V) A \cup B \cup C

Q.4 If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8 }and D = { 7, 8, 9, 10 }; find

(VI) A \cup B \cup D

Q. 4 If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8 }and D = { 7, 8, 9, 10 }; find

(VII) B \cup C \cup D

Q. 1 Let U = { 1, 2, 3, 4, 5, 6, 7, 8, 9 }, A = { 1, 2, 3, 4}, B = { 2, 4, 6, 8 } and C = { 3, 4, 5, 6 }. Find

(i) A′

(ii) B′

(iii) (A \cup C)′

(iv) (A \cup B)′

(v) (A')'

(vi) (B – C)'

Q.2 If U = { a, b, c, d, e, f, g, h}, find the complements of the following sets :

(i) A = {a, b, c}

(ii) B = {d, e, f, g}

(iii) C = {a, c, e, g}

(iv) D = { f, g, h, a}

Q. 3 Taking the set of natural numbers as the universal set, write down the complements of the following sets:

(i) {x : x is an even natural number}

(ii) { x : x is an odd natural number }

(iii) {x : x is a positive multiple of 3}

(iv) { x : x is a prime number }

(v) {x : x is a natural number divisible by 3 and 5}

Q.3 Taking the set of natural numbers as the universal set, write down the complements of the following sets:

(vi) { x : x is a perfect square }

(vii) { x : x is a perfect cube}

(viii) { x : x + 5 =8 }

(ix) { x : 2x + 5 =9}

(x) { x : x \geq 7 }

(xi) { x : x \inN and 2x + 1 > 10 }

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