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.”

Meg writes, “Statement 3 is the inverse of statement 2 and contrapositive of statement 1.”
Cassandra writes, “Statement 2 is the converse of statement 1 and inverse of statement 3.”

Which option is true?

)Both Meg and Cassandra are incorrect.

)Only Meg is correct.

)Both Meg and Cassandra are correct.

)Only Cassandra is correct.

Answer 1

Let p be "She is stuck in traffic" and q be "She is late."
Therefore we have:
Statement 1: p => q
Statement 2: q => p
Statement 3: ~q => ~p.
Now if you know what is a converse and a contraposition (in not, check), you'll be able to tell which answer is correct.

Answer 2

I originally thought that the answer was 'c', I was just double checking because I wasn't 100% sure.

Answer 3

Yes, I also think it's c.