(c) (a,b] = {re F:a a}; (h) [a, +∞o) = {x € F: x ≥ a}; (i) (-∞0, +∞0) = F. (This could be Ø.) (This could be Ø.)

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Q: Does the following set identity hold (for all E, F, G)? (ENF)U (ENG) U (FN G) C EUFUG. Please help…

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Q: TOVE 4.55. Let A, B and C be sets. Prove that (A-B) (A-C)=A-(BUC).

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Q: I want you to prove it. Thank you.

A: Step 1: To prove that the collection of all intervals in R  with endpoints in Q ∪x (where x ∈R) is…

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A: (a) For any set S if a*b∈S , ∀a, b ∈S , then *is closed on S   (b) For any set S if a*(b*c) =…