Let A, B₁, B, be sets. Using induction on 2, prove the following statements: (a) AU (B₁n B₂n CHICA B₁) - (AUB₁)n- n(AUB..). = (An B₁) UU (ANB). (b) An (B₁UB₂U-UB,)
Let A, B₁, B, be sets. Using induction on 2, prove the following statements: (a) AU (B₁n B₂n CHICA B₁) - (AUB₁)n- n(AUB..). = (An B₁) UU (ANB). (b) An (B₁UB₂U-UB,)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Just question 2.
Transcribed Image Text:(b) Prove your conjecture in part (a).
2. Let A, B₁,..., B, be sets. Using induction on n. prove the following statements:
(a) AU (B₁n B₂B₁) - (AUB)n-n(AU B₁).
(b) An (B₁UB₂UUB) - (An B₁) u U(An B..).
3. Let A and B he sets in the universe / Prove the foll
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