Question

Let f : M → N be a function and A, B be subsets of M. Prove the following

f(A ∪ B) = f(A) ∪ f(B)

f(A ∩ B) ⊆ f(A) ∩ f(B)

f(A ∩ B) = f(A) ∩ f(B) ⟺ f is one-one​

Answer 1

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Answer 2

Answer:

Let f : M → N be a function and A, B be subsets of M. Prove the following

Let f : M → N be a function and A, B be subsets of M. Prove the followingf(A ∪ B) = f(A) ∪ f(B)

Let f : M → N be a function and A, B be subsets of M. Prove the followingf(A ∪ B) = f(A) ∪ f(B)f(A ∩ B) ⊆ f(A) ∩ f(B)

Let f : M → N be a function and A, B be subsets of M. Prove the followingf(A ∪ B) = f(A) ∪ f(B)f(A ∩ B) ⊆ f(A) ∩ f(B)f(A ∩ B) = f(A) ∩ f(B) ⟺ f is one-one

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