The contrapositive of the statement "If I rea | vedclass

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

Question

(C) Let $p$ and $q$ be the statements:$p: 	ext{I reach the station in time.}$$q: 	ext{I will catch the train.}$The given statement is of the form $p

Vedclass · Accepted Answer

If $I$ will not catch the train,then $I$ do not reach the station in time.

Vedclass · Answer

(C) Let $p$ and $q$ be the statements:$p: 	ext{I reach the station in time.}$$q: 	ext{I will catch the train.}$The given statement is of the form $p ightarrow q$.The contrapositive of the implication $p ightarrow q$ is defined as $\sim q ightarrow \sim p$.Here,$\sim q$ is "$I$ will not catch the train" and $\sim p$ is "$I$ do not reach the station in time."Therefore,the contrapositive is: "If $I$ will not catch the train,then $I$ do not reach the station in time."This matches option $C$.

The contrapositive of the statement "If $I$ reach the station in time,then $I$ will catch the train" is

Similar Questions

The dual of the converse of the inverse of the logical statement $p \to (q \to r)$ is equivalent to...

If $(p \wedge \sim r) \rightarrow (\sim p \vee q)$ has truth value $F$,then the truth values of $p, q,$ and $r$ are respectively:

Find the function $f(x_{1}, x_{2}, x_{3})$ that satisfies $f(x_{1}, x_{2}, x_{3}) = 1$ at $x_{1} = 1, x_{2} = 0, x_{3} = 0$.

Show that the following statement is true by the method of contrapositive.
$p:$ If $x$ is an integer and $x^{2}$ is even,then $x$ is also even.

The inverse of the proposition $(p \wedge \sim q) \rightarrow r$ is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module