Answer
a. If a person is a child in Tom’s family, then the person is female.
If a person is a female in Tom’s family, then the person is a child.
The second statement is the converse of the first.
b. $\forall$ integers x that are greater than 5, if x ends in 1, 3, 7, or 9, then x is prime.
$\forall$ integers x that are greater than 5, if x is prime, then x ends in 1, 3, 7, or 9.
The second statement is the converse of the first.
Work Step by Step
Recall that if an original statement has the form: $\forall x \in D$, if P(x) then Q(x),
then it's converse statement is: $\forall x \in D$, if Q(x) then P(x).
