Everyone in Biba's neighborhood is permitted to swim at Barton Pool at some time during each day that it is open. No ...

maonuo on August 23, 2020

Please help

Please help explain why B is the correct answer and the others are not.

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jingjingxiao11111@gmail.com on October 8, 2020

Hi I am not an instructor but I understand why you are confused B is the correct answer. B is correct for the following reasons.

This is a set of facts so we can break down into individual facts.
Fact 1: Everyone in Bilba is permitted to swim at some time when the pool is open
Fact 2: No children under the age of 6 are permitted to swim at Barton Pool between noon and 5 P.M.
Fact 3: From 5 P.M. until closing, Barton Pool is reserved for adults only.

So we can break apart the entire day into three components. Morning until noon. Noon until 5 pm. 5 pm until closing.

We know from fact 3 that during 5 pm until closing, the pool is only open to adults. We also know from fact 2 that no children under 6 can enter the pool between noon and 5 pm. Finally, we know from fact 1 that everyone must be permitted to enter the pool at some time when the pool is open.

Now let us take a look at B, which states
If Biba's next–door neighbor has a child under the age of 6, then Barton Pool is open before noon.

B is correct because fact 1 tells us everybody must be able to enter the pool at some point when the pool is open. If Bilba neighbor has a child under 6, then he cannot enter the pool between noon and 5 pm due to fact 2,which states clearly that no children under 6 is allowed in the pool between noon and 5 pm. Nor can that Bilbor neighbor child enter the pool after 5 pm until closing due to fact 3 which clearly states that pool is open only to adults from 5 pm until closing. Therefore, the only time Bilbor’s neighbor child can enter the pool is in the morning which is outside of the hours specified by fact 2 and fact 3. That leads to the conclusion that if Bilbo neighbor has a child under 6, the pool must be open in the morning. If the pool does not open in the morning, then Bilbor’s neighbor child who is under 6 cannot enter the pool at any hour, which clearly violates fact 1.

I hope I explained it correctly. Please feel free to correct me if I am wrong. Thank you!