Олимпиадный тренинг

Задача 39080. Sections - 07


Three segments are given on the number line: B = [0; 50], C = [25; 60] and D = [35; 80]. Specify the largest possible length of such segment A for which the logical expression
\((x \in A) \rightarrow ((x \in B) \vee (x \in D)) \ wedge (x \notin C)\)
true (i.e. takes the value 1) for any value of the variable x.