Модуль: USE-2022. Question 15. Sets and logic


Задача

6/21

Task 6

Задача

The elements of the set A are natural numbers. It is known that the expression
(x ∈ {2, 4, 6, 8, 10, 12}) → (((x ∈ {3, 6, 9, 12, 15}) /\ ¬(x ∈ A)) → ¬(x ∈{2, 4, 6, 8, 10, 12}))
true (i.e., takes the value 1) for any value of the variable x
Determine the smallest possible value of the sum of the elements of set A. 

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