please help me asap
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." Who is correct?
Both Meg and Cassandra are incorrect.
Only Meg is correct.
Both Meg and Cassandra are correct.
Only Cassandra is correct.

Respuesta :

The correct option in regards to conditional statements is; D; Only Cassandra is correct.

How to write the Inverse and Contrapositive of a statement?

An inverse statement assumes the opposite of each of the original statements. The opposite of “If it is snowing” would be “If it is not snowing.” The opposite of “then it is cold” would be “then it is not cold.

Contrapositive is exchanging the hypothesis and conclusion of a conditional statement and negating both hypothesis and conclusion. For example the contrapositive of “if C then D” is “if not-D then not-C

The converse of a statement is formed by switching the hypothesis and the conclusion. The converse of "If two lines don't intersect, then they are parallel" is "If two lines are parallel, then they don't intersect." The converse of "if p, then q" is "if q, then p."

Now, from the above, we can say that;

  • Statement 2 is the converse of statement 1 and inverse of statement 3
  • Statement 3 is the inverse of statement 2

Thus, only Cassandra is correct

Read more about Inverse of a statement at; https://brainly.com/question/11073037

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