X be a limit point of set ECR, then every o infinitely many points of terval containing

Let A, B, C be arbitrary finite sets from the same universal set U. - - (a) Is it true that A - B C (A - B) – (B − C)? If "yes", then prove "rigorously"; if "no", then show a concrete counterexample by specifying sets A, B, C where this subset relation does not hold. (To prove an expression of the form MCN "rigorously", you need to consider an arbitrary element x from M and show that x E N.) (b) Is it true that (A - B = A - C) → (B = C)? If "yes", then prove "rigorously"; if "no", then show a concrete counterexample by specifying sets A, B, C where this implication does not hold.

Provide Cantor’s proof that the set (0, 1) is uncountable.

1. Find the supremum, infimum, maximum, and minimum of each subset of R, if it exists. a. A = sup A max A inf A U[-1-] TEN min A = {":neN} b. B = sup B max B inf B min B c. C = {re Q:r² ≥ 1} sup C max C inf C min C Q Search DOLL 1