Question

* Read the following statements.

- Statement 1: "If she is stuck in traffic, then she is late."

- Statement 2: "If she is late, then she is stuck in traffic."
Statement 3: "If she is not late, then she is not stuck in traffic."

-Sue writes, "Statement 2 is the converse of statement 3 and contrapositive of statement 1."

-Kim writes, "Statement 1 is the inverse of statement 2 and converse of statement 3."

Answer 1

- Which option is true?

a- Only Kim is correct.

b- Both Sue and Kim are correct.

c- Both Sue and Kim are incorrect.

d- Only Sue is correct.

Answer 2

to me, it's c

Answer 3

let the meaning aside, just set P : " she is stuck in traffic" and Q : " she is late"
statement 1: P \(\rightarrow\) Q
statement 2 : Q \(\rightarrow\)P
statement3: \(\neg Q\rightarrow\neg P\)
for Sue conclusion: "statement 2 is converse of statement 3 AND statement2 is contraposition of statement1" for the second part, \(Q\rightarrow P\) is not contrapostion of \(P\rightarrow Q\)
therefore, Sue's conclusion is not correct
for Kim's conclusion: "statement 1 is inverse of statement 2 and...." It's not true
then, final answer is " none of them is correct"
That's my very own opinion.