Math 110 Final
Determine the truth value of the compound statement given that p is a true statement, q
is a true statement, and r is a false statement.
p ∨ (~q ∨ r) - Answers -TRUE
Determine the truth value of the compound statement given that p is a false statement,
q is a false statement, and r is a true statement.
[~(p ∧ ~q) ∨ r] ∧ (p ∨ ~r) - Answers -FALSE
Determine the truth value of the compound statement given that p is a false statement,
q is a true statement, and r is a true statement.
(~p ∧ q) ∧ [(p ∨ ~q) ∨ r] - Answers -TRUE
Construct a truth table for the compound statement.
(q ∧ ~p) ∨ ~q - Answers -
- Answers -
T and T make what? (^) - Answers -T
T and F make what?(^) - Answers -T
F and T make what?(^) - Answers -T
F and F make what?(^) - Answers -F
Explain why the statement 2 ≤ 6 is a disjunction. - Answers -The symbol ≤ means "less
than or equal to."
Determine the truth value of the given statement.
If |x| = 8, then x = 8. - Answers -False
State whether the given biconditional is true or false. Assume that x and y are real
numbers.
x2 = 16 if and only if x = 4. - Answers -False
A student downloaded 6 music files to a portable music player. In how many different
orders can the songs be played? - Answers -720
A card is selected at random from a standard deck of playing cards.
Determine the truth value of the compound statement given that p is a true statement, q
is a true statement, and r is a false statement.
p ∨ (~q ∨ r) - Answers -TRUE
Determine the truth value of the compound statement given that p is a false statement,
q is a false statement, and r is a true statement.
[~(p ∧ ~q) ∨ r] ∧ (p ∨ ~r) - Answers -FALSE
Determine the truth value of the compound statement given that p is a false statement,
q is a true statement, and r is a true statement.
(~p ∧ q) ∧ [(p ∨ ~q) ∨ r] - Answers -TRUE
Construct a truth table for the compound statement.
(q ∧ ~p) ∨ ~q - Answers -
- Answers -
T and T make what? (^) - Answers -T
T and F make what?(^) - Answers -T
F and T make what?(^) - Answers -T
F and F make what?(^) - Answers -F
Explain why the statement 2 ≤ 6 is a disjunction. - Answers -The symbol ≤ means "less
than or equal to."
Determine the truth value of the given statement.
If |x| = 8, then x = 8. - Answers -False
State whether the given biconditional is true or false. Assume that x and y are real
numbers.
x2 = 16 if and only if x = 4. - Answers -False
A student downloaded 6 music files to a portable music player. In how many different
orders can the songs be played? - Answers -720
A card is selected at random from a standard deck of playing cards.
