Олимпиадный тренинг

Задача 39079. Sections - 06


Two segments are given on the number line: B = [40; 80], C = [120; 150]. Specify the largest possible length of such segment A for which the logical expression
\((((x \notin C)\rightarrow (x \in B)) \rightarrow (x \in B) ) \rightarrow ((x \notin A) \vee (x \in B))\)
true (i.e. takes the value 1) for any value of the variable x.