For nonempty sets A, B, and C, let f : A --> B and g : B --> C. If g of is an injection, then is gonto.

For each of the statements below, write its converse and its contrapositive. (a) If A \ B = A, then AnB = 0. Converse: Contrapositive: (b) If P(A) CP(B) and BCC, then P(A) ≤ P(C). Converse: Contrapositive:

Answer 2 and 3 in the question. Please make sure the answers are correct. This question is in three parts.  Given the premises: If the steak is well done, it’s overcooked. If the steak is overcooked, the fire alarm will go off. Either the batteries have been changed or the fire alarm will not go off. The batteries have only been changed if the ladder is in the room. The ladder is not in the room. Conclude that the steak is not well done. 2. These premises don’t make sense in the real world.  Why? 3. How can you change the premises so that they make sense in the real world?

4. As soon as possible please.