For a fixed set A. Which of the following propositions expresses the fact that the intersection of any two subsets of A is in A? O (VX = P(A)) (VY = P(A))(3Z = P(A)) (Va € A)(a € Z ⇒ (a € XV\a € Y)) O (VX = P(A)) (VY = P(A))(=Z = P(A)) (Va € A) ((a ≤ X ^ a € Y) = a € Z) O (VX € P(A))(VY = P(A))(‡Z = P(A)) (Va € A)((a ≤ XV a € Y) ⇒ a € Z) O (EZ = P(A)) (VX = P(A))(VY = P(A)) (Va € A) (a € Z ⇒ (a € X ⇒ a € Y))

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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For a fixed set A. Which of the following propositions expresses the
fact that the intersection of any two subsets of A is in A?
O (VX = P(A)) (VY = P(A))(3Z = P(A)) (Va € A)(a € Z ⇒ (a € XV\a € Y))
O (VX = P(A)) (VY = P(A))(=Z = P(A)) (Va € A) ((a ≤ X ^ a € Y) = a € Z)
O (VX € P(A))(VY = P(A))(=Z = P(A)) (Va € A)((a ≤ XV a € Y) ⇒ a € Z)
O (EZ = P(A)) (VX = P(A))(VY = P(A)) (Va € A) (a € Z ⇒ (a € X ⇒ a € Y))
Transcribed Image Text:For a fixed set A. Which of the following propositions expresses the fact that the intersection of any two subsets of A is in A? O (VX = P(A)) (VY = P(A))(3Z = P(A)) (Va € A)(a € Z ⇒ (a € XV\a € Y)) O (VX = P(A)) (VY = P(A))(=Z = P(A)) (Va € A) ((a ≤ X ^ a € Y) = a € Z) O (VX € P(A))(VY = P(A))(=Z = P(A)) (Va € A)((a ≤ XV a € Y) ⇒ a € Z) O (EZ = P(A)) (VX = P(A))(VY = P(A)) (Va € A) (a € Z ⇒ (a € X ⇒ a € Y))
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