Answer
Statement: If the square of an integer is odd, then the integer is odd.
Contrapositive: If an integer is not odd, then the square of the integer is not odd.
Converse: If an integer is odd, then the square of the integer is odd.
Inverse: If the square of an integer is not odd, then the integer is not odd.
All the statements are true.
Work Step by Step
A statement of the form: $\forall x \in D$, if P(x) then Q(x),
has as its contrapositive statement: $\forall x \in D$, if ~Q(x) then ~P(x),
as its converse statement: $\forall x \in D$, if Q(x) then P(x),
and as its inverse statement: $\forall x \in D$, if ~P(x) then ~Q(x).
