which diagram and determination of validity is correct for the following argument? because all vegans are…

which diagram and determination of validity is correct for the following argument? because all vegans are vegetarians, and no vegetarians eat red meat, it follows that no meat eaters are vegans.

which diagram and determination of validity is correct for the following argument? because all vegans are vegetarians, and no vegetarians eat red meat, it follows that no meat eaters are vegans.

Answer

Brief Explanations:

Let (S) represent vegans, (M) represent vegetarians, and (P) represent meat - eaters. The first premise "all vegans are vegetarians" means (S\subseteq M). The second premise "no vegetarians eat red - meat" implies (M\cap P=\varnothing). Combining these, we get (S\cap P = \varnothing) (no meat - eaters are vegans). In a Venn - diagram, the circle for (S) and the circle for (P) should have no overlap. The correct diagram will show this non - overlap and the argument is valid as the conclusion follows from the premises.

Answer:

The diagram where the circle representing vegans ((S)) and the circle representing meat - eaters ((P)) have no intersection and is labeled as VALID is correct.