AnswersAZ-Common Core Algebra II ACompound StatementsQuestion 10
10
QuizMultiple Choice

Compound Statements

Question 10 • AZ-Common Core Algebra II A

Which pairs of statements are logically equivalent? Select two options.the inverse and the contrapositive of the original conditional statementthe original conditional statement and its contrapositivethe original conditional statement and its inversethe converse and the inverse of the original conditional statementthe converse and the contrapositive of the original conditional statement

Answer
A
the inverse and the contrapositive of the original conditional statement
B
the original conditional statement and its contrapositive
C
the original conditional statement and its inverse
D
the converse and the inverse of the original conditional statement
E
the converse and the contrapositive of the original conditional statement

Explanation

For a conditional p → q, the contrapositive is ¬q → ¬p, which is logically equivalent to the original statement, so choice B is correct. The converse is q → p, and the inverse is ¬p → ¬q; these are logically equivalent to each other, so choice D is also correct.

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