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
.