Sentence 1: For these communities, the FCC's e-rate department recommends dial-up services like AOL that offer 800 access at a pricey 10 cents a minute premium.

Sentence 2: The 800 access on the market like AOL dial-up is cheap and inexpensive compared to other internet service providers.
Is this second sentence entailed by the first?

Answer: no

Sentence 1: According to tradition, saints Anne (Hannah) and Joachim, the parents of the Virgin Mary, lived on this site when Mary was born; you can visit the grotto beneath the church where St. Anne gave birth.

Sentence 2: Mary's parents lived here when she was born.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: It also has a solid multithreading and multitasking model, meaning that one errant program can't bring the whole computer to its knees.

Sentence 2: One errant program can bring the whole computer to its knees.
Is this second sentence entailed by the first?

Answer:
no