हिंदी

If the statements p, q are true statements and r, s are false statements, then determine the truth value of the statement pattern: (q ∧ r) ∨ (∼P ∧ s) - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

If the statements p, q are true statements and r, s are false statements, then determine the truth value of the statement pattern: 

(q ∧ r) ∨ (∼P ∧ s)

योग
Advertisements

उत्तर

Truth values of p and q are T and truth values of r and s are F.

∴ (q ∧ r) ∨ (∼P ∧ s) ≡ (T ∧ F) ∨ (∼T ∧ F)

≡ F ∨ (F ∧ F)

≡ F ∨ F

≡ F

Hence, the truth value of the given statement pattern is false (F).

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2023-2024 (July) Official
Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×