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


Задача

10/21

Task 10

Задача

Denote by DIV(n, m) the statement "the natural number n is divisible without remainder by the natural number m" ;. For what is the smallest natural number A the formula
(DIV(x, A) /\ ¬DIV(x , 50)) → (¬DIV(x, 18) \/ DIV(x, 50))
is identically true (that is, takes on the value 1 for any natural value of the variable x)?

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