Evaluate 3 × sup(2,4 1)

General
1

evaluate 3 × sup(2,4 1).

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It seems like there might be a misunderstanding with the expression "3 × sup(2,4 1)” as written. Let’s try to clarify what this expression could mean and then evaluate it.

Understanding the Expression

  1. sup: This typically stands for “supremum,” which is the least upper bound of a set. In mathematical terms, ( \sup(A) ) means the smallest number that is greater than or equal to every number in the set ( A ).

  2. (2,4,1): This appears to be a set or list of numbers. The order would indicate that you’re finding the supremum of the numbers 2, 4, and 1.

  3. 3 × [expression]: Once we’ve determined what the expression inside the brackets equals, we will multiply the result by 3.

Step-by-Step Evaluation

  1. Finding the Supremum of the Set ( {2, 4, 1} ):

    • Look at the set: ( {2, 4, 1} ).
    • The supremum, or the largest element, of this set is 4 because 4 is greater than the other numbers.

  2. Multiply By 3:

    • Now you take the supremum result, 4, and multiply it by 3.
    • ( 3 \times 4 = 12 ).

Final Result

Thus, the evaluation of the expression ( 3 \times \sup(2, 4, 1) ) is:

3 \times \sup(\{2, 4, 1\}) = 3 \times 4 = 12

Summary: The expression ( 3 \times \sup(2,4,1) ) evaluates to 12.