Three segments are given on the number line:
B = [5; 30],
C = [1; 20] and
D = [25; 45]. Specify
the largest possible length of such segment
A for which the logical expression
\((x \in A) \rightarrow (((x \notin B) \vee (x \notin C)) \rightarrow (x \in D))\)
true (i.e. takes the value 1) for any value of the variable
x.