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

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