Question

Write converse, inverse and contrapositive of the following statement.
If surface area decreases then pressure increases.​

Answer 1

Answer:

Converse: q → p is the converse of p → q. i.e. If the pressure increases, then the surface area decreases. ... i.e. If the surface area does not decrease, then the pressure does not increase. Contrapositive: ∼ q → ∼ p is the contrapositive of p → q.

Answer 2

Answer:

Let p: The surface area decreases.

Let 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.