Question

Write the contrapositive of the inverse of the statement:

‘If two numbers are not equal, then their squares are not equal’.

Answer 1

Let p: Two numbers are not equal.

q: Their squares are not equal.

Then the symbolic form of the given statement is `p → q`.

The inverse of `p → q` is ∼ p →∼ q and contrapositive of `∼ p →∼ q` is 

`∼ (∼ q) → ∼ (∼ p) ≡ q → p`.

Hence, the contrapositive of the inverse of the given statement is:

‘If the squares of two numbers are not equal, then numbers are not equal’.