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N = {1, 2, 3, 4, 5, ...} В3D {1, -1, 3, -3, 5, ...} where an even natural number n corresponds to the negative odd integer 1- n and an odd natural number n corresponds to the odd integer n. (a) Find the element of B that corresponds to 345 € N. (b) Find the element of N that corresponds to 241 e B. (c) Find the element of N that corresponds to –759 € B. (d) Find the element of B that corresponds to the element 2n EN (for example, -1 corresponds to 2 x1 = 2, -3 corresponds to 2 x 2 = 4,..) (e) Find the element of B that corresponds to the element 2n +1 €N

N = {1, 2, 3, 4, 5, ...} В3D {1, -1, 3, -3, 5, ...} where an even natural number n corresponds to the negative odd integer 1- n and an odd natural number n corresponds to the odd integer n. (a) Find the element of B that corresponds to 345 € N. (b) Find the element of N that corresponds to 241 e B. (c) Find the element of N that corresponds to –759 € B. (d) Find the element of B that corresponds to the element 2n EN (for example, -1 corresponds to 2 x1 = 2, -3 corresponds to 2 x 2 = 4,..) (e) Find the element of B that corresponds to the element 2n +1 €N

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 7P
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Consider the following one-to-one correspondence between the set  B of all odd integers and the set N of all natural numbers:

N = {1, 2, 3, 4, 5, ...} B = {1, -1, 3, -3, 5, ...} where an even natural number n corresponds to the negative odd integer 1 -n and an odd natural number n corresponds to the odd integer n. (a) Find the element of B that corresponds to 345 € N. (b) Find the element of N that corresponds to 241 € B. (c) Find the element of N that corresponds to –759 € B. (d) Find the element of B that corresponds to the element 2n EN (for example, -1 corresponds to 2 x 1 = 2, -3 corresponds to 2 x 2 = 4,...) (e) Find the element of B that corresponds to the element 2n +1 €N
Transcribed Image Text:N = {1, 2, 3, 4, 5, ...} B = {1, -1, 3, -3, 5, ...} where an even natural number n corresponds to the negative odd integer 1 -n and an odd natural number n corresponds to the odd integer n. (a) Find the element of B that corresponds to 345 € N. (b) Find the element of N that corresponds to 241 € B. (c) Find the element of N that corresponds to –759 € B. (d) Find the element of B that corresponds to the element 2n EN (for example, -1 corresponds to 2 x 1 = 2, -3 corresponds to 2 x 2 = 4,...) (e) Find the element of B that corresponds to the element 2n +1 €N
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