Each of the candidates in this year's mayoral election is a small-business owner. Most small-business owners are comp...

Itzelth on August 7 at 02:33AM

Answer choice E

I understand why B is the right answer after re-diagramming. I’m just having trouble diagramming E. Can someone diagram this for me please

2 Replies

Shunhe on August 7 at 07:44PM

Hi @izzy,

Thanks for the question! Sure, let’s take a look at diagramming (E), sentence by sentence.

First, we’re told that all of the bicycle helmets sold in this store have some plastic in them. This is an “all” statement, and remember we diagram All X are Y as X —> Y. So this is

Bicycle helmet sold in this store —> Has some plastic in it

Next, most of the bicycle helmets sold in this store have some rubber in them. This is a straightforward most statement:

Bicycle helmet sold in this store —most—> Has some rubber in it

Next, we’re told that “since no helmets that have rubber in them do not also have plastic in them…” This is also going to be our last premise. This is a no statement. Remember we diagram No X are Y as X —> ~Y. Here, “X” is “helmet has rubber” and “Y” is “doesn’t have plastic.” So this is

Helmet has rubber —> Helmet has plastic

Since double negatives cancel out. Finally, the conclusion is that most helmets in this store with plastic have rubber. So this is

Helmet in this store & Has plastic —most—> Has rubber

Hope this helps! Feel free to ask any other questions that you might have.

Itzelth on August 9 at 11:58PM

This helps! The "some" in the description was throwing me off. Thank you!