Answered

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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."

Who is correct?

Only Kim is correct.
Both Sue and Kim are correct.
Both Sue and Kim are incorrect.
Only Sue is correct.

Sagot :

The conclusion of the conditional statements is that; Both Sue and Kim are correct.

How to interpret Conditional Statements?

We are given 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."

Now, A contrapositive statement is one that contradicts the subject and the predicate. This can be stated as; "if not B, then not A ". In this sense, we can opine that Kim is correct when she says that Statement 3 is the contrapositive of statement 1.

Meanwhile, a converse statement is obtained by turning around the positions of the hypothesis and the conclusion. This can be stated as; "if p, then q" is "if q, then p." Thus, Sue is correct to say that; "Statement 2 is the converse of statement 1 and contrapositive of statement 3."

Read more about Conditional Statements at; https://brainly.com/question/11073037

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