{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

homework8 - 1...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
LOGIC AND PROOF HOMEWORK 8 1. Consider the function f: {1,2,3,4,5,6,7} {0,1,2,3,4,5,6,7,8,9} given as f{(1,3), (2,8), (3,3), (4,1), (5,2), (6,4), (7,6)} Find f({1,2,3}) and f 1 ({0,5,9}). 2. Let g: Գ x Գ Գ by g(m,n) = 2 m 3 n , let A = {1,2,3}, and let C = {1,4,6,9,12,16,18}. Find g(A x A) and g 1 (C). 3. Prove that the converse of Theorem 4.5.1 (a) is true when f is 1 1. 4. Provide a counterexample to show that the converse of Theorem 4.5.1 (a) is not true when f is not 1 1. 5. Use an epsilon argument to prove that if x
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}