NAME___________________________
GEOMETRY
LOGIC:
CONJUNCTIONS/DISJUNCTIONS
1. If p represents "It is sunny" and q
represents "It is warm," then what is
the translation of p ~q?
7. If p is true and q is true, what is the
truth value of ~p  ~q?
2. If p represents "I have studied" and q
represents "I will pass the test," write
in symbolic form "I have studied or I
will not pass the test."
8. Given that p is true, q is true, and r is
false, find the truth value of
(p  q)  r.
3. If p represents "You are correct" and
q represents "I agree," write in
symbolic form "You are correct and
I agree."
9. If p is true and q is false, what is the
truth value of ~(p  q)?
4. If m represents "Today is Monday"
and w represents "It is washday,"
write the sentence "Today is Monday
or it is a wash day" in symbolic
form.
10. If r represents a true statement and q
represents a false statement, what is
the truth value of r  q?
5. If p represents "5 + 2 = 7" and q
represents "x + 3 = 4," write "5 + 2 =
7 or x + 3  4" in symbolic form.
6. If s represents "Kay will study,"
write the sentence "Kay will study or
will not study" in symbolic form.
11. If r is true and q is true, what is the
truth value of ~r  q?
12. What is the truth value of the
conjunction "9 + 2 = 11 and 9 + 3 
11"?
13. If r represents a false statement and
q represents a true statement then
what is the truth value of ~(r  q)?
17. Find the truth value of “Fifteen is
not evenly divisible by 4 or 16 is evenly
divisible by 4.”
14. Find the truth value of "Twelfth
graders are seniors and hamburger is
a soft drink."
18. Find the truth value of "Dallas is not
in South Carolina or Buffalo is in
New York."
19. Assume that x and y represent true
statements and w represents a false
statement. Determine the truth value of
(x  ~w)  ~y.
15. Find the truth value of "Twelve is a
prime number or 36 is a perfect
square number."
16. Find the truth value of "Nine is an
odd number and pi is an irrational
number.”
20. If p is false, q is true, and r is false,
determine the truth value of p  (q  r).