Lesson
TruthTables
Complete the truth table b
y
fillin
g
in the required
columns.
1) ~ p ∨ p
p ~ p ~ p ∨ p
T
F
2) p ∧ ~ q
p q ~ q p ∧ ~ q
T T
T F
F T
F F
3) ~ p ∨ ~ q
p q ~ p ~ q ~ p ∨ ~ q
T T
T F
F T
F F
Construct a truth table for the statement.
4) (r ∧ q) ∨ (~r ∧ ~q)
5) ~(q ∨ t) ∧ ~(t ∧ q)
6) ~(p ∨ q) ∧ ~ p
7) c ∨ ~(q ∧ r)
8) w ∨ (w ∧ ~w)
Let p represent a true statement and let q
represent a false statement. Find the truth value of
the given compound statement.
9) p ∨ ~q
10) [(~p ∧ ~q) ∨ ~q]
Let p represent a true statement, while q and r
represent false statements. Find the truth value of
the compound statement.
11) ~p ∨ (q ∧ ~r)
12) ~[(~p ∧ q) ∨ r]
Construct a truth table for the statement.
13) ~ p → ~ q
14) (p ∧ q) → (p ∨ q)
15) ~t → (~t ∧ p)
16) ~(p ∧ q) → ~(p ∨ q)
Construct a truth table for the
g
iven statement
and then determine if the statement is a tautology.
17) [ (p → ~ q) ∨ q ] → p
18) [ (p ∧ ~ q) ∧ ~ p ] → ~ q
Construct a truth table for the
g
iven statement.
19) ~ p ↔ ~ q
20) (p ↔ q) → ~ q
Construct a truth table for the statement. Then
determine if the statement is a tautology.
21) ~(~p ∧ q) ↔ (p ∧ ~ q)
Prestatistics
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