Unit 7 Answers

1. a) T     b) F     c) T      d) F

2.

1. There is a student who is happy.
2. Every student is not happy.
3. There is a student who is not happy.
4. Not all students are unhappy.

3. a) F    b) T    c) F   d)F    e) T     f) F

4.

a) P(1, 2) P(2, 2) P(3, 2)

b) P(3, 1) P(3, 2) P(3, 3)

c) P(1, 1) P(1, 2) P(1, 3) P(2, 1) P(2, 2) P(2, 3) P(3, 1) P(3, 2) P(3, 3)

e) ( P(1, 1) P(1, 2) P(1, 3) ) ( P(2, 1) P(2, 2) P(2, 3) ) ( P(3, 1) P(3, 2) P(3, 3) )

f) ( P(1, 1) P(2, 1) P(3, 1) ) ( P(1, 2) P(2, 2) P(3, 2) ) ( P(1, 3) P(2, 3) P(3, 3) )