Question

1. choose the best answer.

the exchange and negation of both the hypothesis and conclusion of a conditional statement results in a related conditional statement called a(n) ____
○ converse
○ contrapositive
○ negation
○ inverse

1. choose the best answer.

the exchange of the hypothesis and conclusion of a conditional statement results in a related conditional statement called a(n) ____
○ negation
○ contrapositive
○ inverse
○ converse

Explanation:

Question 14

To solve this, we recall the definitions of related conditional statements:

• Converse: Exchanges hypothesis and conclusion (no negation).
• Contrapositive: Exchanges and negates both hypothesis and conclusion.
• Negation: Denies the entire statement, not a structural change.
• Inverse: Negates both hypothesis and conclusion (no exchange).

The question describes exchanging and negating both, so it's the contrapositive.

Recall the definitions:

• Negation: Denies the statement, not structural.
• Contrapositive: Exchanges and negates (not just exchange).
• Inverse: Negates both (no exchange).
• Converse: Exchanges hypothesis and conclusion.

The question describes exchanging hypothesis and conclusion, so it's the converse.

Answer:

B. contrapositive

Question 15