Let A, B, C be subsets of U. Prove that If C – B=0 then AN (BUC) < ((A-C)) UB
Prove the statement is true. (a) The set A= {(2,y) ERR:22 + y2 <1} is uncountable.
- 2 + x - 2 < 0 has no solutions. True False
Prove for allm ε Ν. Σέ < 2 - Α.
[3] 5. Suppose that f: D[0, 1] → D[0, 1] is holomorphic, prove that \f'(x) < 1/(1 - 1z| for all z e D[0, 1]. [3] 5. Suppose that f: D[0, 1] → D[0, 1] is holomorphic, prove that f'(x) < 1/(1-1-12 for all z e D[0, 1]
(3) 5. Suppose that f : D[0, 1] → D[0, 1] is holomorphic, prove that f'(2) < 1/(1 - 121) for all z e D[0,1].
For a reaction with AG < 0, which statement is true? Select one: a. Rate is first orders o b. The reaction is endothermic Oc. Keq 0 O d. Keq > 0 e. The reaction is exothermic
5. If a, b E R, prove that abl < (a + b^).
let a,b > 0 . Prove that DI < Val
an (4) Let F be ordered field. Prove that the statement Vo: ZX\x6F*XWye FtX &<y)->(<y') is true (hist: Factor Y-X out of yº-x")