Question

A proof by contradiction is often the best choice when swapping the hypothesis of an implication with its conclusion will provide an easier path for the proof.

a. True
b. False

Answer 1

A proof by contradiction is often the best choice when swapping the hypothesis of an implication with its conclusion will provide an easier path for the proof.

Step-by-step explanation:

A proof by contradiction is often the best choice when swapping the hypothesis of an implication with its conclusion will provide an easier path for the proof. This statement is True.

In a proof by contradiction, we assume that the hypothesis is false and show that it leads to a contradiction. By doing so, we can prove the original implication statement by demonstrating that its negation is false. This method can be particularly effective when direct proof is difficult or not feasible.