This is the question about the discrete structure.

1. Write the psuedo code to find the answer to this question.

For all integers a where, there exists an integer b such that ab = 221 and both a and b are > 1.

2. Consider the argument form:

p q

q p

p q

Create a truth table to determine if the argument is true. Include a statement indicating if it is true or not.

p	q	~p	~q	p -> ~q	q -> ~p	pvq
T	T
T	F
F	T
F	F

3. What is the logic error below?

All real numbers have nonnegative squares.

The number i has a negative square.

Therefore, the number i is not a real number.

A.		There is no error.
B.		Arguing from examples.
C.		Circular reasoning.
D.		Confusion between what is known and what is still to be shown.

4. What is the logic error below?

A single person can't be in two places at the same time.

No one has seen me with Batman.

Therefore, I am Batman.

	A.	Using the same letter to mean two different things.
	B.	Circular reasoning.
	C.	No logic error exists.
	D .	Jumping to a conclusion

5. The following statements are logically equivalent.

(a) A real number is less than 1 only if its reciprocal is greater than 1. (b) Having a reciprocal greater than 1 is a sucient condition for a real number to be less than 1.

A. True

B. False