Question

Is this right?

a. Conditional Statement: If the cookie is an Oreo, then its milk's favorite cookie
b. Converse Statement If its milk's favorite cookie, then the cookie is an oreo.
c. Inverse Statement; If the cookie is not an oreo, then it is not milks favorite cookie.
d. Contrapositive Statement; If the cookie is not an Oreo, then the cookie is not milk's favorite cookie.

Answer 1

The given statements are all correct and logically equivalent to each other.

Step-by-step explanation:

The given statements are:

1. a. Conditional Statement: If the cookie is an Oreo, then it's milk's favorite cookie.
2. b. Converse Statement: If it's milk's favorite cookie, then the cookie is an Oreo.
3. c. Inverse Statement: If the cookie is not an Oreo, then it is not milk's favorite cookie.
4. d. Contrapositive Statement: If the cookie is not an Oreo, then the cookie is not milk's favorite cookie.

All four statements are correct. The conditional statement (a) represents the original relationship between the cookie being an Oreo and it being milk's favorite cookie. The converse statement (b) reverses the order of the conditional statement, but it still maintains the same relationship. The inverse statement (c) negates both the antecedent and consequent of the conditional statement, while the contrapositive statement (d) swaps and negates both the antecedent and consequent. Therefore, all four statements are logically equivalent to each other.