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
.