CS 281 Solutions to Test 1

1(a) tex2html_wrap_inline18
(b) tex2html_wrap_inline20
(c) tex2html_wrap_inline22 or tex2html_wrap_inline24
(d) tex2html_wrap_inline26
(e) tex2html_wrap_inline28

2(a) tex2html_wrap_inline30
(b) R
(c) tex2html_wrap_inline34 , Q
(d) 1 or T

3. Converse:
(a) Believing is sufficient for seeing.
(b) If it is less expensive, then I will buy it.
(c) If I can't finish the job, then I don't work hard.
(d) If you get an A in the final, then you get an A in Math 101.

Contrapositive:
(a) Not believing is sufficient for not seeing.
(b) If it is not less expensive, then I won't buy it.
(c) If I can finish the job, then I work hard.
(d) If you don't get an A in the final, then you don't get an A in Math 101.

4(a) S: Today is Sunday.
W: I do Web surfing.
Y: I do yard work.
N: the network is down.
R: It rains.

tex2html_wrap_inline42
tex2html_wrap_inline44
tex2html_wrap_inline46
tex2html_wrap_inline48
---------------
Y

(b) tex2html_wrap_inline48
tex2html_wrap_inline54 one of the implications (simplification)
-----------------
R
tex2html_wrap_inline46
-----------
tex2html_wrap_inline60

Therefore the given conclusion is not correct.