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Name: Janna Portia P.

Manaog

Course and Section: BSA 1A

MMW-ACTIVITY 3. CONDITIONAL AND OTHER RELATED STATEMENTS

Construct a truth table for each compound statement.

1. (q ∧ p)∨ q

p q p q (q ∧ p) (q ∧ p)∨ q

T T F F F F

T F F T F T

F T T F T T

F F T T F T

2. p ∨[∼ ( p ∧∼ q ) ]

p q q ( p ∧∼ q ) ∼ ( p ∧∼ q ) p ∨[∼ ( p ∧∼ q ) ]

T T F F T T

T F T T F T

F T F F T T

F F T T F F

3. [∼ ( r ∧ ∼q )]∨(∼ p ∨q)

p q r p q ( r ∧∼ q ) ∼ ( r ∧∼ q ) (∼ p ∨q) [∼ ( r ∧ ∼q )]∨(∼ p ∨q)

T T T F F F T T T

T T F F F F T T T
T F T F T T F F F

T F F F T F T F T

F T T T F F T T T

F T F T F F T T T

F F T T T T F T T

F F F T T F T T T

4. ( p ∧∼ r )∨[∼ q ∨( p ∧r )]

p q r r ( p ∧∼r ) ( p ∧r ) ∼q ∨( p ∧r ) ( p ∧∼r )∨[∼q ∨( p ∧r )]

T T T F F T T T

T T F T T F F T

T F T F F T T T

T F F T T F T T

F T T F F F F F

F T F T F F F F

F F T F F F T T

F F F T F F T T

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