Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

problem 21: tell whether this argument is a valid or invalid deduction.…

Question

problem 21: tell whether this argument is a valid or invalid deduction. if the two angles in a linear pair are equal, then each is a right angle. ∠a and ∠b are not right angles. therefore, they are not an equal linear pair. after you pick your answer press go. valid invalid go

Explanation:

Brief Explanations

Let \( p \) be "the two angles in a linear pair are equal" and \( q \) be "each is a right angle". The first statement is \( p \to q \). The second statement is \(
eg q \) (∠A and ∠B are not right angles). By the law of contrapositive (if \( p \to q \), then \(
eg q \to
eg p \)), \(
eg q \) implies \(
eg p \) (they are not an equal linear pair). So the deduction follows the contrapositive rule, making it valid.

Answer:

Valid