Advertisements
Advertisements
Question
Write converse, inverse and contrapositive of the following statement.
If surface area decreases then pressure increases.
Advertisements
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.
APPEARS IN
RELATED QUESTIONS
Write converse, inverse and contrapositive of the following statement.
If x < y then x2 < y2 (x, y ∈ R)
Write converse, inverse and contrapositive of the following statement.
A family becomes literate if the woman in it is literate.
Write converse, inverse and contrapositive of the following statement. "If voltage increases then current decreases".
"If two triangles are congruent, then their areas are equal'' is the given statement then the contrapositive of, the inverse of the given statement is ______.
The converse of 'If x is negative then we cannot find its square root' is ______.
The contrapositive of (p ∧ r) → q is ______.
The contrapositive of (p v q) `implies` r is ______.
The contrapositive of the statement : "If the weather is fine then my friends will come and we go for a picnic."
