मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

Using the rules of negation, write the negation of the following: (~p ∧ q) ∧ (~q ∨ ~r) - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Using the rules of negation, write the negation of the following:

(~p ∧ q) ∧ (~q ∨ ~r)

बेरीज
Advertisements

उत्तर

~[(~p ∧ q) ∧ (~q ∨ ~r)]

≡ ~(~p ∧ q) ∨ ~(~q ∨ ~r)    ...[Negation of conjunction]

≡ [~(~p) ∨ ~q] ∨ [~(~q) ∧ ~(~r)]  ...[Negation of conjunction and disjunction]

≡ (p ∨ ~q) ∨ (q ∧ r)     ...[Negation on negation]

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Mathematical Logic - Exercise 1.8 [पृष्ठ २१]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
पाठ 1 Mathematical Logic
Exercise 1.8 | Q 2.3 | पृष्ठ २१
Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×