Sentence 1: but she was real interesting

Sentence 2: She was a good public speaker.
Is this second sentence entailed by the first?

Answer: it is not possible to tell

Sentence 1: It had taken the united efforts of himself and his son months to argue his wife into using the name "Red" rather than the perfectly ridiculous (viewed youngster fashion) name which was his real one.

Sentence 2: He and his son argued for months with the wife.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: Prices vary enormously, so shopping around usually pays off handsomely.

Sentence 2: Prices are stagnant and there is no need to look around.
Is this second sentence entailed by the first?

Answer:
no