1. Let P(x) be the statement "x = |x|." If the domain consists of

The integers, what are the truth values? Why?

2. A coin is flipped 5 times where each flip comes up either heads or tails. How many possible outcomes:

a. Are there in total?

b. Contain exactly three heads?

3. Assuming that in a box there are 10 black socks and 12 blue socks, calculate the maximum number of socks needed to be drawn from the box before a pair of the same color can be made. Use the pigeonhole principle.

4. Give an example of a function which is NOT onto

a. P(2) b. P(1) c. P(0) d. Vx P(x) e. Ex P(x)