Answer :
A ∪ {1, 2} = {1, 2, 3, 5, 9}
Elements of A and {1, 2} together give us the result
So smallest se of A can be
A = {1, 2, 3, 5, 9} – {1, 2}
A = {3, 5, 9}.
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Let A = {a, b, c, d}, B = {c, d, e} and C = {d, e, f, g}. Then verify each of the following identities:
(i) A × (B ∩ C) = (A × B) ∩ (A × C)
(ii) A × (B – C) = (A × B) – (A × C)
(iii) (A × B) ∩ (B × A) = (A ∩ B) × (A ∩ B)
RS Aggarwal - Mathematics
If A and B be two sets such that n(A) = 3, n(B) = 4 and n(A ∩ B) = 2 then find.
(i) n(A × B)
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RS Aggarwal - Mathematics
(i) If A ⊆ B, prove that A × C ⊆ B × C for any set C.
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RS Aggarwal - Mathematics
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RS Aggarwal - Mathematics
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RS Aggarwal - Mathematics
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RS Aggarwal - Mathematics
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RS Aggarwal - Mathematics
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RS Aggarwal - Mathematics