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Write converse, inverse and contrapositive of the following statement. If voltage increases then current decreases. - Mathematics and Statistics

Sum

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.

Concept: Converse, Inverse, and Contrapositive
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