HSC Commerce (Marketing and Salesmanship) 12th Board ExamMaharashtra State Board
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# Using truth table show that – (p → – q) ≡ p ∧ q - HSC Commerce (Marketing and Salesmanship) 12th Board Exam - Mathematics and Statistics

#### Question

Using truth table show that – (p → – q) ≡ p ∧ q

#### Solution

– (P → – q) ≅ P ∧ q

=(e^x/(2e^y))=1/2[e^(x-y)]

dy/dx=1/2[e^x+e^y]

Truth table

 P (1) q(2) -q(3) p→-q (4) -(p→-q)(5) p^q(6) T T F F T T T F T T F F F T F T F F F F T T F F

From the truth table, we get 5th and 6th columns are
identical

∴-(p→-q)≅ p∧q

Is there an error in this question or solution?

#### APPEARS IN

2017-2018 (March) (with solutions)
Question 3.1.3 | 3.00 marks

#### Video TutorialsVIEW ALL [3]

Solution Using truth table show that – (p → – q) ≡ p ∧ q Concept: Increasing and Decreasing Functions.
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