Explain your reasoning a The set of negative integers is clo

Explain your reasoning. a. The set of negative integers is closed for multiplication. b. Division on the set of integers is associative. c. The identity element for multiplication on the set of integers is - 1.

Solution

(a) The set of all negative numbers is not closed under the operation of multiplication because if you perform this operation on any two numbers, the result is not in the set. Therefore it is not closed under multiplication.

(b) True : It does not matter in which way you divide numbers

(c) False: It is 1