Maharashtra State BoardHSC Arts 12th Board Exam
Advertisement Remove all ads

Using the truth table prove the following logical equivalence. [∼ (p ∨ q) ∨ (p ∨ q)] ∧ r ≡ r - Mathematics and Statistics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads
Chart

Using the truth table prove the following logical equivalence.

[∼ (p ∨ q) ∨ (p ∨ q)] ∧ r ≡ r

Advertisement Remove all ads

Solution

1 2 3 4 5 6 7
p q r p ∨ r ∼ (p ∨ q) ∼ (p ∨ q) ∨ (p ∨ q) [∼ (p ∨ q) ∨ (p ∨ q)] ∧ r
T T T T F T T
T T F T F T F
T F T T F T T
T F F T F T F
F T T T F T T
F T F T F T F
F F T F T T T
F F F F T T F

The entries in columns 3 and 7 are identical.
∴ [∼ (p ∨ q) ∨ (p ∨ q)] ∧ r ≡ r

Concept: Statement Patterns and Logical Equivalence
  Is there an error in this question or solution?

APPEARS IN

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×