The contrapositive of the statement "If | vedclass

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Question

Let $p$ denotes statement

$\mathrm{p}:$ I reach the station in time.

$\mathrm{q}: \mathrm{I}$ will catch the train.

Contrapositive of $\mathr

Vedclass · Accepted Answer

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

Vedclass · Answer

Let $p$ denotes statement

$\mathrm{p}:$ I reach the station in time.

$\mathrm{q}: \mathrm{I}$ will catch the train.

Contrapositive of $\mathrm{p} \rightarrow \mathrm{q}$

is $\sim \mathrm{q} \rightarrow \sim \mathrm{p}$

$\sim \mathrm{q} \rightarrow \sim \mathrm{p}: \mathrm{I}$ will not catch the train, then I do not reach the station in time.

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

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