Question

Let A be a nonempty bounded subset of R and let B = sup(A). Define B.

Answer 1

The sup or supremum is the smallest number greater than or equal to every number in a nonempty bounded subset of real numbers.

Step-by-step explanation:

In mathematics, the sup or supremum of a nonempty bounded subset A of real numbers (R) is defined as the least upper bound of A. It is denoted as sup(A) or B in this case. The supremum is the smallest number that is greater than or equal to every number in A.

For example, if A = {2, 4, 6, 8}, then sup(A) = 8 because 8 is the largest number in A and there is no smaller number that is greater than or equal to all the numbers in A.