Given the following symbolic meanings: A @ B A@B A @ B means "All A are B" A&B means "Only a few A are B" A A A $B$ means &quo...

Question

Given the following symbolic meanings:

  • A@BA@B means "All A are B"
  • A&B means "Only a few A are B"
  • AA$B$ means "No A is B"
  • A%BA%B means "Some A is B"

Analyze the statement:

P&R%T</mi><mi>Q</mi><mi mathvariant="normal">@</mi><mi>M</mi></mrow><annotation encoding="application/x-tex">P \&amp; R \% T \ Q @ M

and determine which of the following conclusions logically follow:

I. Some R being not Q is a possibility

II. All M can be T

III. Some T being not P is a possibility

IV. All P can never be R

Options

A.

Both III and IV

B.

Only I

C.

Both II and III

D.

Only IV

E.

Only III

syllogismsymbol based reasoninglogical deduction

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