Question

Closure is the property of an operation and a set that the performance of the operation on members of the set always yields a member of the ______.

Answer 1

Answer:

Set.

Explanation:

Closure property in algebra asserts that 'when an operation(multiplication, addition) takes place among the members of a set, the result produced would surely be a member of that same set.' For example, if we add or multiply two real numbers(members of the same set), the result would be a real number for sure(a member of the same set). It implies that 'real numbers are closed under multiplication and addition.' While if I subtract two real numbers, I may or may not get a real number. Thus, the real numbers are closed under subtraction.