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Hello there,

I am extremely new to mathematical analysis and do not have an idea how to prove the following questions. Could you please give me a hand and show me a way?

Let At , t ∈ T, be a family of sets, and let X be a set. Prove the identities

http://desmond.imageshack.us/Himg62/scaled.php?server=62&filename=98278507.png&res=landing [Broken]

Let A and B are sets, and let f : A → B be a function defined in A with values in B.

Is it true that f (A \ B) ⊂ f (A) \ f (B)?

Is it true that f (A \ B) ⊃ f (A) \ f (B)

I am extremely new to mathematical analysis and do not have an idea how to prove the following questions. Could you please give me a hand and show me a way?

Let At , t ∈ T, be a family of sets, and let X be a set. Prove the identities

http://desmond.imageshack.us/Himg62/scaled.php?server=62&filename=98278507.png&res=landing [Broken]

Let A and B are sets, and let f : A → B be a function defined in A with values in B.

Is it true that f (A \ B) ⊂ f (A) \ f (B)?

Is it true that f (A \ B) ⊃ f (A) \ f (B)

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