For the two sets P and Q, P' intersection Q is equal to : (a) P-(Q) (B) P - Q () Q - P (d) Q' - P [Choose the correct answer]
Answers
⭐Answer ⭐
The union of two sets P and Q is represented by P ∪ Q. This is the set of all different elements that are included in P or Q. The symbol used to represent the union of set is ∪. The intersection of two set P and Q is represented by P ∩ Q.Union of Set: Intersection of SetIt rejects the identical values from the set: It is an associative operation which includes.
Answer:
P∩Q = P - Q
P∩Q implies elements that are both in set P and Q.
P∩Q={x:x∈P and x∈Q}
Explanation:
Convergence of sets is the arrangement of components which are normal to both the given sets. In set hypothesis, for any two sets An and B, the convergence is characterized as the arrangement of the multitude of components in set A that are likewise present in set B. We utilize the image '∩' that signifies 'crossing point of'. For instance, let us address the understudies who like frozen yogurts for dessert, Brandon, Sophie, Luke, and Jess. This is set A. The understudies who like brownies for pastry are Ron, Sophie, Mia, and Luke. This is set B. The understudies who like both frozen yogurts and brownies are Sophie and Luke. This is addressed as A ∩ B.
Properties of Intersection of Sets
Crossing point of sets have properties like the properties of numbers. The properties of crossing point of sets incorporate the commutative regulation, cooperative regulation, law of invalid set and general set, and the idempotent regulation. The properties of the convergence of sets.
Commutative Law
A ∩ B = B ∩ A
Associative Law
(A ∩ B) ∩ C = A ∩ (B ∩ C)
Law of ϕ and U
ϕ ∩ A = ϕ , U ∩ A= A
Idempotent Law
(A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)
(A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)
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