Question

Prove that P(A) U P(B) = P(A U B)

correct answer will be marked brainliest ​

Answer 1

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For any set A , we let P(A) denotes the power set of A i.e. the set of all subsets of A . We will show that:

P(A)∪P(B)⊆P(A∪B)

Since A⊂A∪B , so every subset of A is also a subset of A∪B , therefore P(A)⊆P(A∪B) . Likewise, P(B)⊆P(A∪B) . Therefore, P(A)∪P(B)⊆P(A∪B) .

P(A∪B)⊈P(A)∪P(B)

Suppose A={1} , B={2} . So, A∪B={1,2} .

P(A)={∅,{1}}, P(B)={∅,{2}}

P(A∪B)={∅,{1},{2},{1,2}}⊈{∅,{1},{2}}=P(A)∪P(B)

Answer 2

Answer:

Agar aapko maths aata hai to please solve kardo it's my request

Brothers sorry but aaap ne Jo abhi apni mehnat se solve kiya uska answer =28.28 aa rha Hai

22 nhi