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Write the inverse of the following statement: ‘If the train reaches on time, then I can catch the connecting flight.’ - Mathematics and Statistics

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Question

Write the inverse of the following statement:

‘If the train reaches on time, then I can catch the connecting flight.’

Sum
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Solution

Let p: The train reaches on time.

q: I can catch the connecting flight.

Then the symbolic form of the given statement is p → q.

Inverse: ∼ p → ∼ q is the inverse of p → q,

i.e., If the train does not reach on time, then I cannot catch the connecting flight.

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