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If Universal Set Is Given Then Find A Intersection B Is Equal To

Solution: (3) U = x5 - 6x4 + 11x3 - 6x2 = 0 U = x2 (x3 − 6x2 + 11x − 6) U = x2 (x − 1) (x − 2) (x − 3) A... View Article

Is A Intersection Of A Is Phi

Solution: (2) A ∩ ϕ = ϕ ϕ denotes an empty set. The intersection of an empty set is an empty set.... View Article

If Z Denotes The Integers A And B Are Given Then Find The Number Of Element In A Intersection B

Solution: (5) A = {(a, b):a2 + 3b2 = 28, a, b ∈ Z} A = {(1, 3), (-1, 3}, (4, 2}, (- 4, 2}, (5, 1), (-5, 1), (-5, -1), (-4, -2), (-1, -3),... View Article

The Value Of A Union B Union C Intersection A Intersection B C Intersection C Intersection C Is

From the figures (i), (ii) and (iii), (A ∪ B ∪ C) (A ∩ BC ∩ CC)C ∩ CC = B ∩ CC The answer is B ∩ CC. ... View Article

If N A Denotes The Number Of Elements In The Set A

Solution: (2) n[(A x B) ∩ (B x A)] = n [(A ∩ B) * (B ∩ B) * (B ∩ A) * (A ∩ A)] = n [(A ∩ B) * (1) * (B ∩ A) * 1]... View Article

If A 1 2 3 B 3 4 And C 4 5 6 Then A Union B Intersection C Is Equal To

Solution: (4) A = {1, 2, 3} B = {3, 4} C = {4, 5, 6} (B ∩ C) = {3, 4} ∩ {4, 5, 6} = {4} A ∪ (B ∩ C) = {1, 2, 3} ∪ {4} =... View Article

If A A B C B B C D And C A D C Then A B B Intersection C Isequalto

Solution: (1) Given that: A = {a, b, c}, B = {b, c, d} and C = {a, d, c} A − B = {a, b, c} − {b, c, d} = {a}and B ∩ C = {b, c,... View Article

A Survey Shows That 63 Of The Americans Like Cheese Whereas 76 Like Apples

A survey shows that 63% of the Americans like cheese whereas 76% like apples. If x % of the Americans like both cheese and apples, then (1) x =... View Article

Three Sets A B And C Are Such That A B C And B C A Then

Three sets A, B and C are such that A = B ∩ C and B = C ∩ A, then (1) A ⊂ B (2) A ⊃ B (3) A = B (4) A ⊂ B' Solution:... View Article

In A Certain Town 25 Of Families Own A Cell Phone 15 Of Families Own A Scooter

Solution: (3) % of families that own a cell phone = 25% % of families that own a scooter = 15% % of families that own neither a cell phone nor... View Article

If A And B Are Two Sets Then A Union B Union A Intersection B Is Equal To

Solution: (1) By applying De Morgan’s Law, (A’ ∩ B’) ∪ (A’ ∩ B) By distributive law, A’ ∩... View Article

For Any Two Sets A And B A A B Is Equal To

Solution: (3) Given A and B are two sets. A - (A - B) = A − (A ∩ Bc) = A ∩ (A ∩ Bc)c = A ∩ (Ac ∪ B) =... View Article

X Belong To R 2x 1 X 3 4 X 2 3x Is Equal To

Solution: (3) Consider A = {x ∈ R: 2x - 1 / [x3 + 4x2 + 3x]} [x3 + 4x2 + 3x] = x [x2 + 4x + 3] = x (x + 3) (x + 1) x ≠ 0, -1, -3 A =... View Article

If S Is A Set With 10 Elements And A X Y X Y S X Y Then The Number Of Elements In A Is

If S is a set with 10 elements and A = {(x, y) : x, y ∈ S, x ≠ y}, then the number of elements in A is (1) 100 (2) 90 (3) 50 (4) 45... View Article

For Any Two Sets A And B If A Intersection X B Intersection X Phi And A Union X B Union X For Some Set X Then

Solution: (2) A and B are two sets such that A ∩ X = B ∩ X = ϕ and A ∪ X = B ∪ X for some set X. A = A ∩ (A ∪ X) = A... View Article

Two Finite Sets A And B Have M And N Elements

Solution: (1) The number of subsets of A consisting of m elements is 112 > the subsets of B having n elements. 2m − nn = 112 2n .... View Article

If A B And C Are Three Sets Such That A Intersection B A Intersection C And A Union B A Union C Then

If A, B and C are three sets such that A ∩ B = A ∩ C and A ∪ B = A ∪ C, then (1) A = C (2) B = C (3) A ∩ B = ϕ (4) A = B... View Article

If S 1 2 3 4 Then The Total Number Of Unordered Pairs Of Disjoint Subsets Of S Is

Solution: (4) S = {1, 2, 3, 4} According to the definition of disjoint sets, if there exist two sets A and B, A ⋂ B = ɸ. Every element of S... View Article

If A 1 2 B 1 2 C 1 2 Then Which Of The Following Relation Is Correct

If A = {1, 2}, B = { {1}, {2} }, C = { {1, 2} }. Then, which of the following relation is correct? (1) A = B (2) B ⊆ C (3) A ∈ C (4) A... View Article

If A And B Are Two Sets Then A Union B Intersection A Intersection B Is Equal To

If A and B are two sets, then (A ∪ B)’ ∩ (A’ ∩ B) is equal to (1) A' (2) A (3) B' (4) None of these Solution: (4)... View Article

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