OpenStudy (lucho95):

* 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."

4 years ago
OpenStudy (lucho95):

- 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.

4 years ago
OpenStudy (anonymous):

to me, it's c

4 years ago
OpenStudy (anonymous):

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.

4 years ago