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Question

Write converse , inverse and contrapositive of the following statements.
If voltage increases then current decreases.

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Solution

Let p: Voltage increases.
Let q: Current decreases.
Then the symbolic form of the given statement is pq.
Converse: qp is the converse of pq.
i.e., If current decreases, then voltage increases.
Inverse: pq is the inverse of pq.
i.e., If voltage does not increase, then current does not decrease.
Contrapositive: qp, is the contrapositive of pq.
i.e., If current does not decrease, then voltage does not increase.

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