English

If p, q, r are statements with truth values T, T, F respectively determine the truth values of the following. ∼ (p ∧ q) → ∼ (q ∧ p)

Advertisements
Advertisements

Question

If p, q, r are statements with truth values T, T, F respectively determine the truth values of the following.

∼ (p ∧ q) → ∼ (q ∧ p)

Sum
Advertisements

Solution

∼ (p ∧ q) → ∼ (q ∧ p) ≡ ∼ (T ∧ T) → ∼ (T ∧ T)

≡ ~ T → ~ T

≡ F → F

≡ T

Hence, truth value is T.

shaalaa.com
  Is there an error in this question or solution?
Chapter 1: Mathematical Logic - Miscellaneous Exercise 1 [Page 32]

APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.09 | Page 32
Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×