8
QuizMultiple Choice

Conditional Statements and Equivalence — Quiz

Question 8 • MASTER COURSE Geometry

If p is the hypothesis of a conditional statement and q is the conclusion, which is represented by approximates p rightarrow approximates q ?

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

Explanation

The inverse of a conditional statement p → q is formed by negating both the hypothesis and the conclusion, giving ¬p → ¬q. The contrapositive would reverse them as well, giving ¬q → ¬p. Therefore, the expression represents the inverse of the original conditional statement.

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