"The set of all even integers 2Z is..." was answered by students like you

College
Algebra
Abstract algebra

Dillan Gibbs

Answered question

2022-02-13

The set of all even integers 2Z is a subgroup of

(Z, +)

. Then the right coset

- 4 + 2 Z

contains the element
1) 3
2) 5
3) 10
4) 1

Answer & Explanation

Dzikowiec5wa

Beginner2022-02-14Added 13 answers

Given the set of all even integers Ififis a subgroup of

(Z, +)

The right coset is

- 4 + 2 Z

If

a \in 2 Z then - 4 + a \in - 4 + 2 Z

Hence the correct option is 10.

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