Question

1. Which of the following is a group under addition?

a. The set of all positive integers b. The set of all even integers

c. The set of all odd integers
d. The set of all negative integers

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Answer 1

Answer:

NO:-A

GIVE ME MCFLURRY

Answer 2

Answer:

B The set of all even integers is a group under the addition.

Step-by-step explanation:

The conditions for a group to come under addition are

• Set is closed under addition.
• Set shows associativity with '+' sign
• Contains elements to satisfy inverse rule that is contains both x and -x in the set.
• Set contains an identity element in it.

From the above conditions we can judge that the option B i.e set of all even integers satisfy the above conditions and hence comes under the set of addition group.