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

I think only Meg is correct

Answer 2

Can you explain to e why lol. Sorry. I just need to understandwhy.

Answer 3

This should help:

Statement: if p then q
Converse: if q then p
Inverse: if not p then not q
Contrapositive: if not q then not p

Answer 4

Um, please post this in the writing section. This is the mathematics section

Answer 5

Ummm well, This is mathematics This is geometry.

Answer 6

Oh.. Sorry, I keep forgetting.

Answer 7

lol it's okay.

Answer 8

@rmwdrika: Using what I posted, can you reason out each person's statements or do you need more help?

Answer 9

I think I can try it out. I want to help my self understand a little better.

Answer 10

Once you have an answer if you want it checked, post it back here. Good luck :)

Answer 11

Thank you. I will :)