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

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प्रश्न

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

बेरीज

उत्तर

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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Converse, Inverse, and Contrapositive
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Mathematical Logic - Exercise 1.3 [पृष्ठ १८]
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