INSTRUCTIONS: Determine whether the following symbolized arguments are valid or invalid by identifying the form of each. In some cases the argument must be rewritten using double negation or commutativity before it has a named form. Those arguments without a specific name are invalid. PV D ~P O MP-valid. O HS valid. O MT valid. O DA invalid. O DS valid.

(Discrete Mathematics) Which of the following argument forms are valid?  Choose one answer. Only (b.) is valid. Both are valid. Both are invalid. Only (a.) is valid.

Translate the given statement into symbolic form. Be sure to define all pred- icates used. Use the variable a with domain D = {a : a is an animal } as your main variable. Then, negate the symbolic statement. In your answer, negations should appear only in front of predicates. Finally, rewrite the negated statement clearly in plain English. "Any animal that is wild can be tamed." 2.

Let p, q, and r represent the following simple statements. p: I eat bananas. q: I like ice cream. r I like to eat. Write the following compound statement in its symbolic form. If I do not eat bananas then: I do not like ice cream and I do not like to eat. The symbolic form is

Select the negation of: Some mountains are snow-capped. No mountains are snow-capped. If it is not snow-capped, then it is not a mountain. Some mountains are not snow- сapped. All mountains are snow-capped. Select the converse of: If you need an iron, then you can borrow mine. You need an iron and you cannot borrow mine. If you borrow mine, then you need and iron. If you cannot borrow mine, then you do not need an iron. If you do not need an iron, then you cannot borrow mine.