Sentence 1: (Budget Director Frank Raines dismissed such details as boring.

Sentence 2: Director Frank Raines decided such details were boring and didn't pay attention to it.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: Donald Trump is the preferred roadblock, because his candidacy could attract Democratic supporters.

Sentence 2: Donald Trump could not attract Democratic supporters.
Is this second sentence entailed by the first?

Answer: no

Sentence 1: Winters here are marvelously mild and deserted, but even during the peak summer months you can seek out the island's many enchanted corners away from the crowds.

Sentence 2: Winter is this location's busiest peak season and it's impossible to avoid the crowds.
Is this second sentence entailed by the first?

Answer:
no