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Question
Write converse, inverse and contrapositive of the following statement. "If voltage increases then current decreases".
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Solution
Let p: Voltage increases.
q: Current decreases.
Then the symbolic form of the given statement is p→q.
Converse: q→p is the converse of p→q.
i.e. If current decreases, then voltage increases.
Inverse: ∼p→∼q is the inverse of p→q.
i.e. If voltage does not increase, then-current does not decrease.
Contrapositive: ∼q→∼p, is the contrapositive of p→q.
i.e. If current does not decrease, then voltage does not increase.
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