Which of the following is true? (a) \( p \Rightarrow q=\sim p \Rightarrow \sim q \) (b) \( \sim(...

Channel:
PW Solutions
Subscribers:
456,000
Published on ● Video Link: https://www.youtube.com/watch?v=uC29DCbNJvI


Duration: 4:22
1 views
0

Which of the following is true?
(a) \( p \Rightarrow q=\sim p \Rightarrow \sim q \)
(b) \( \sim(p \Rightarrow \sim q) \equiv \sim p \wedge q \)
(c) \( \sim(\sim p \Rightarrow \sim q) \equiv \sim p \wedge q \)
(d) \( \sim(\sim p \Leftrightarrow q)=[\sim(p \Rightarrow q) \wedge \sim(q \Rightarrow p)] \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2023-07-03If \( p: 4 \) is an even prime number, \( q: 6 \) is a divisor of 12 and \( r \) : the HCF of 4 ...
2023-07-03The propositions \( (p \Rightarrow \sim p) \wedge(\sim p \Rightarrow p) \) is a (a) Tautology an...
2023-07-03If \( p \Rightarrow(q \vee r) \) is false, then the truth values of \( p, q, r \) are respective...
2023-07-03If \( p \) is any statement, \( t \) is tautology and \( c \) is a contradiction, then which of ...
2023-07-03\( \sim((\sim p) \wedge q) \) is equal to (a) \( p \vee(\sim q) \) (b) \( p \vee q \) (c) \( \si...
2023-07-03\( (p \wedge \sim q) \wedge(\sim p \wedge q) \) is (a) A tautology. (b) A contradiction. (c) Bot...
2023-07-03The contrapositive of \( (p \vee q) \Rightarrow r \) is (a) \( r \Rightarrow(p \vee q) \) (b) \(...
2023-07-03Let \( p, q \) and \( r \) be any three logical statements. Which of the following is true? (a) ...
2023-07-03The inverse of the statement, If \( x \) is zero then we cannot divide by \( x^{\prime} \) is (a...
2023-07-03Which of the following statements is false when \( p \) is true and \( q \) is false? (a) \( (p ...
2023-07-03Which of the following is true? (a) \( p \Rightarrow q=\sim p \Rightarrow \sim q \) (b) \( \sim(...
2023-07-03The statement \( (\sim(p \Leftrightarrow q)) \wedge p \) is equivalent to (a) \( p \wedge q \) (...
2023-07-03The inverse of the statement \( (p \wedge \sim q) \rightarrow r \) is (a) \( \sim(p \vee \sim q)...
2023-07-03The statement \( p \Leftrightarrow q \) is not equivalent to (a) \( (p \vee q) \Rightarrow(p \we...
2023-07-03Find the derivative of \( \sin x \) from first principle.
2023-07-03The negation of \( (\sim p \wedge q) \vee(p \wedge \sim q) \) is (a) \( (p \vee \sim q) \vee(\si...
2023-07-03If \( y=1+\frac{x}{1 !}+\frac{x^{2}}{2 !}+\frac{x^{3}}{3 !}+\ldots \), then \( \frac{d y}{d x}=\...
2023-07-03Differentiate this function \( \frac{1}{a x^{2}+b x+c} \)
2023-07-03Differentiate this function \( (2 x-7)^{2}(3 x+5)^{3} \)
2023-07-03Differentiate this function \( \sin ^{3} x \cos ^{3} x \)
2023-07-03Differentiate this function \( (\sin x+\cos x)^{2} \)