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27. If A = { 3, 5, 7, 9, 11 }, B = {7, 9, 11, 13}, C = {11, 13, 15}and D = {15, 17}; find
(i) A B
(ii) B C
(iii) A C D
(iv) A C
(v) B D
(vi) A (B C)
(vii) A D
(viii) A (B D)
(ix) (A B) (B C )
(x) (A D) (B C)
27. If A = { 3, 5, 7, 9, 11 }, B = {7, 9, 11, 13}, C = {11, 13, 15}and D = {15, 17}; find
(i) A B
(ii) B C
(iii) A C D
(iv) A C
(v) B D
(vi) A (B C)
(vii) A D
(viii) A (B D)
(ix) (A B) (B C )
(x) (A D) (B C)
27. (i) A ∩ B = {3,5,7,9,11} ∩ {7,9,11,13}
= {7, 9, 11}
(ii) B ∩ C = {7,9,11,13} ∩ {11,13,15}
= {11,13}
(iii) A ∩ C ∩ D = (A ∩ C) ∩ D
= [ {3,5,7,9,11} ∩ {11,13,15}] ∩ {15,17}.
= {11} ∩ {15,17} = .
(iv) A ∩ C = {3,5,7,9,11} ∩ {11,13,15}.
= {11}
(v) B ∩ D = {7,9,11,13} ∩ {15,17}=
(vi) A
Upvote 
26. Find the intersection of each pair of sets of question 1 above.
26. Find the intersection of each pair of sets of question 1 above.
26. (i) X ∩ Y = {1,3,5} ∩ {1,2,3} = {1,3}
(ii) A = {a, e, i, o, u} ∩ {a, b, c} = {a}
(iii) A ∩ B = {3,6,9,12 …} ∩ {1,2,3,4,5}
= {3}
(iv) A ∩ B = {2,3,4,5,6} ∩ {7,8,9} =
(v) A ∩ B = {1,2,3} ∩ =
Upvote 25. 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 B
(ii) A C
(iii) B C
(iv) B D
(v) A B C
(vi) A B D
(vii) B C D
25. 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 B
(ii) A C
(iii) B C
(iv) B D
(v) A B C
(vi) A B D
(vii) B C D
25. (i) A B = {1, 2, 3, 4} {3, 4, 5, 6}
= {1, 2, 3, 4, 5, 6}
(ii) A C = {1, 2, 3, 4} {5, 6, 7, 8}
= {1, 2, 3, 4, 5, 6, 7, 8}
(iii) B C = {3, 4, 5, 6} {5, 6, 7, 8}
= {3, 4, 5, 6, 7, 8}
(iv) B D = {3, 4, 5, 6} {7, 8, 9, 10}
= {3, 4, 5, 6, 7, 8, 9, 10}
(v)
Upvote 24. If A and B are two sets such that A B, then what is A B ?
24. If A and B are two sets such that A B, then what is A B ?
24.If A? B then let a A and also a B.
but b B and b A i.e, A = {a} and B = {a, b}
So, A B = {x : x A or x B}
= {a, b}
= B
Upvote 23. Let A = { a, b }, B = { a, b, c}. Is A B ? What is A B ?
23. Let A = { a, b }, B = { a, b, c}. Is A B ? What is A B ?
23. Given, A = {a, b}
B = {a, b, c}
Yes A B as a, b A and a, b B.
And A B = {a, b} {a, b, c} = {a, b, c} = B
Upvote Sets Ex 1.4 Class 11 Math Solutions
Q22. Find the union of each of the following pairs of sets:
(i) X = {1, 3, 5} Y = {1, 2, 3}
(ii) A = [ a, e, i, o, u} B = {a, b, c}
(iii) A = {x : x is a natural number and multiple of 3}
B = {x : x is a natural number less than 6}
(iv) A = {x : x is a natural number and 1 < x 6 }
B = {x : x is a natural number and 6 < x <10 }
(v) A = {1, 2, 3}, B =
Sets Ex 1.4 Class 11 Math Solutions
Q22. Find the union of each of the following pairs of sets:
(i) X = {1, 3, 5} Y = {1, 2, 3}
(ii) A = [ a, e, i, o, u} B = {a, b, c}
(iii) A = {x : x is a natural number and multiple of 3}
B = {x : x is a natural number less than 6}
(iv) A = {x : x is a natural number and 1 < x 6 }
B = {x : x is a natural number and 6 < x <10 }
(v) A = {1, 2, 3}, B =
22. (i) X∪ Y = {1,3,5}∪ {1,2,3} = {1,2,3,5}.
(ii) A ∪B = {a, e, i, o, u} ∪ {a, b, c} = {a, b, c, e, i, o, u}
(iii) A = {3, 6, 9, 12 …}
B = {1, 2, 3, 4, 5}
So, A∪ B = {3, 6, 9, 12, …}∪ {1, 2, 3, 4, 5}
= {1, 2, 3, 4, 5, 6, 9, 12 …}
(iv) A = {2, 3, 4, 5, 6}
B = {7, 8, 9}
So, A∪ B
Upvote 21. 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)
(iii) {0,1,2,3,4,5,6,7,8,9,10}
(iv) {1,2,3,4,5,6,7,8}
21. 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)
(iii) {0,1,2,3,4,5,6,7,8,9,10}
(iv) {1,2,3,4,5,6,7,8}
21. Universal set of A, B and C must includes all elements of A, B and C, i.e. 0,1,2,3,4,5,6,8.
So, the universal set of A, B and C is (iii) {0,1,2,3,4,5,6,7,8,9,10}.
Upvote 20. What universal set(s) would you propose for each of the following:
(i) The set of right triangles.
(ii) The set of isosceles triangles.
20. What universal set(s) would you propose for each of the following:
(i) The set of right triangles.
(ii) The set of isosceles triangles.
20. (i) The set of all triangles. U= {x : x is a triangle in a plane}
(ii) The set of all triangles. U= {x : x is a triangle in a plane}
Upvote 19. Write the following intervals in set-builder form :
(i) (– 3, 0)
(ii) [6 , 12]
(iii) (6, 12]
(iv) [–23, 5)
19. Write the following intervals in set-builder form :
(i) (– 3, 0)
(ii) [6 , 12]
(iii) (6, 12]
(iv) [–23, 5)
19. (i) [–3, 0] = {x : x such that x R, –3 < x <0}
(ii) [6, 12] = {x : x R, 6 ≤ x ≤ 12}
(iii) (6, 12] = {x : x R, 6 < x ≤ 12}
(iv) [–23, 5) = {x : x R, –23 ≤ x < 5}
Upvote 18. Write the following as intervals:
(i) {x : x R, – 4 <x < 6}
(ii) {x : x R, – 12 < x < –10}
(iii) {x : x R, 0 x < 7}
(iv) {x : x R, 3 x 4}
18. Write the following as intervals:
(i) {x : x R, – 4 <x < 6}
(ii) {x : x R, – 12 < x < –10}
(iii) {x : x R, 0 x < 7}
(iv) {x : x R, 3 x 4}
18. (i) As x does not include –4 while 6 is included.
(–4, 6].
(ii) As x does not include both –12 and –10.
(–12, –10)
(iii) As x includes 0 but does not includes 7.
[0, 7)
(iv) As includes both 3 and 4
[3, 4]
Upvote