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# Write converse, inverse and contrapositive of the following statement. If surface area decreases then pressure increases. - Mathematics and Statistics

Sum

Write converse, inverse and contrapositive of the following statement.

If surface area decreases then pressure increases.

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#### Solution

Let p: The surface area decreases.
q: The pressure increases.
Then the symbolic form of the given statement is p → q.
Converse: q → p is the converse of p → q.
i.e. If the pressure increases, then the surface area decreases.
Inverse: ∼ p → ∼ q is the inverse of p → q.
i.e. If the surface area does not decrease, then the pressure does not increase.
Contrapositive: ∼ q → ∼ p is the contrapositive of p → q.
i.e. If the pressure does not increase, then the surface area does not decrease.

Concept: Converse, Inverse, and Contrapositive
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