The negation of the statement "If India wins | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let $p$ be the statement: "India wins the match".Let $q$ be the statement: "India will reach the final".The given statement is in the form of an i

Vedclass · Accepted Answer

India wins the match and India will not reach the final.

Vedclass · Answer

(B) Let $p$ be the statement: "India wins the match".Let $q$ be the statement: "India will reach the final".The given statement is in the form of an implication: $p \implies q$.The negation of an implication $p \implies q$ is given by $\sim(p \implies q) \equiv p \land \sim q$.Here,$p$ is "India wins the match" and $\sim q$ is "India will not reach the final".Therefore,the negation is: "India wins the match and India will not reach the final".

The negation of the statement "If India wins the match,then India will reach the final" is:

Similar Questions

The number of ordered triplets of the truth values of $p, q$ and $r$ such that the truth value of the statement $(p \vee q) \wedge (p \vee r) \Rightarrow (q \vee r)$ is True,is equal to

The negation of $p \wedge (q \rightarrow \sim r)$ is

The statement $p$ $\Rightarrow (q$ $\Rightarrow p)$ is logically equivalent to .....

The logical statement $\sim(p \vee q) \vee(\sim p \wedge q)$ is equivalent to

Identify the quantifier in the following statement and write the negation of the statement.
There exists a number which is equal to its square.

Vedclass Test Series

Exam Paper Generator

Online Exam Module