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ConceptMathematical Logic - Algebra of Statements

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#### Question

Without using truth table show that P↔q ≡(P ∧ q) ∨ (~ p ∧ ~ q)

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The negation of p ∧ (q → r) is

- p ∨ (~q ∨ r)
- ~p ∧ (q → r)
- ~p ∧ (~q → ~r)
- ~p ∨ (q ∧ ~r)

Solution for concept: Mathematical Logic - Algebra of Statements. For the courses 12th HSC Arts, 12th HSC Commerce, 12th HSC Commerce (Marketing and Salesmanship), 12th HSC Science (Computer Science), 12th HSC Science (Electronics), 12th HSC Science (General)