Олимпиадный тренинг

Задача 39724. Dividers with range - 04


Let us denote by DIV(n, m) the statement "a natural number n is divisible without remainder by a natural number m". For what is the largest natural number A< /code> boolean expression
\((x \geq 15) \rightarrow ( \neg DIV(x, 3) \rightarrow DIV(x, 2)) \vee (x-A\geq 10)\)
identically true (i.e. takes the value 1) for any integer natural value of the variable х.