Question

Statement 1: People who read fashion magazines do not like to read fiction.
Statement 2: Tenzin does not read fashion magazines.
Assuming that Statements 1 and 2 are true, which of the following conclusions might be said to follow?

• A. Tenzin likes to read fiction
• B. Tenzin may or may not like to read fiction
• C. Tenzin does not like to read fiction
• D. Tenzin does not like fashion magazines

Hint:

If A $\Rightarrow$ B, then not-A doesn't mean not-B. Don't assume the inverse is true unless logically equivalent.

Answer 1

The Correct Option is B

From Statement 1, we learn: \[ \text{If a person reads fashion magazines} \Rightarrow \text{they do not like fiction} \] Statement 2 tells us: \[ \text{Tenzin does not read fashion magazines} \] But this doesn’t tell us anything about whether he likes fiction. Why? Because the contrapositive of the original conditional is: \[ \text{If someone likes fiction} \Rightarrow \text{They do not read fashion magazines} \] But just knowing that Tenzin doesn’t read fashion magazines doesn’t imply whether he likes or dislikes fiction. Hence, only (b) is logically correct. % Final Answer \[ \boxed{\text{(b)}} \]