Answer
Verified
482.4k+ views
Hint- Here, we will be using the theorem of propositional logic because of the given statement.
According to the theorem of propositional logic, $p$ implies $q$ is equivalent to not $p$ or q
i.e., $p \to q \equiv \left( { \sim p} \right) \vee q$
Now let us replace $q$ by not $q$ ($ \sim q$) then the above compound statement becomes
$p \to \sim q \equiv \left( { \sim p} \right) \vee \left( { \sim q} \right)$
From the above compound statement, we can say that $p$ implies not $q$ ($ \sim q$) is equivalent to not $p$ ($ \sim p$) or not $q$ ($ \sim q$).
Therefore, option B is correct.
Note- In these types of problems, the given statement is observed and an appropriate theorem is used which will give a compound statement where the given statement is equivalent to another statement.
According to the theorem of propositional logic, $p$ implies $q$ is equivalent to not $p$ or q
i.e., $p \to q \equiv \left( { \sim p} \right) \vee q$
Now let us replace $q$ by not $q$ ($ \sim q$) then the above compound statement becomes
$p \to \sim q \equiv \left( { \sim p} \right) \vee \left( { \sim q} \right)$
From the above compound statement, we can say that $p$ implies not $q$ ($ \sim q$) is equivalent to not $p$ ($ \sim p$) or not $q$ ($ \sim q$).
Therefore, option B is correct.
Note- In these types of problems, the given statement is observed and an appropriate theorem is used which will give a compound statement where the given statement is equivalent to another statement.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE
Which are the Top 10 Largest Countries of the World?
How do you graph the function fx 4x class 9 maths CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Why is there a time difference of about 5 hours between class 10 social science CBSE