HSC Science (General) 12th Board ExamMaharashtra State Board
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Solution - The negation of p ∧ (q → r) is - HSC Science (General) 12th Board Exam - Mathematics and Statistics

Question

The negation of p ∧ (q → r) is

  1. p ∨ (~q ∨ r)
  2. ~p ∧ (q → r)
  3. ~p ∧ (~q → ~r)
  4. ~p ∨ (q ∧ ~r)

Solution

(d)

~ [P ∧ (q → r) =~[( P)] ∨ [~ (q → r)] .................By De Morgan's law
                     =~[( P)] ∨ [~ (~q ∨ r )]...............By Conditional Law
                     =~[( P)] ∨ [( q ∧ ~r )]...................By De Morgan's law
~ [P ∧ (q → r)]= ~ P ∨ (q ∧ ~r)

Is there an error in this question or solution?

APPEARS IN

 2015-2016 (March) (with solutions)
Question 1.1.1 | 2 marks
Solution for question: The negation of p ∧ (q → r) is concept: null - Algebra of Statements. For the courses HSC Science (General) , HSC Science (Computer Science), HSC Science (Electronics), HSC Arts, HSC Commerce (Marketing and Salesmanship), HSC Commerce
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