If A + B means A is the mother of B; A - B means A is the brother of B; A % B means A is the father of B, and A \(\times\) B means A is the sister of B, which of the following shows that P is the maternal uncle of Q?
Let's break down each part of the statement and explain how we arrive at the conclusion:
1. P - M → P is the brother of M This statement tells us that P is the brother of M. In other words, P and M share the same parents, and they are siblings. This sets up the relationship that P is a male (brother) and M is also a sibling.
2. M + N → M is the mother of N This means that M is the mother of N. We now know that M (who is the sister of P, from the first statement) has a child N, and therefore, M is a female, specifically a mother.
3. N × Q → N is the sister of Q This tells us that N is the sister of Q. Therefore, N and Q are siblings, and N is female.
4. Conclusion: P is the maternal uncle of Q Given the relationships: P is the brother of M (from statement 1).
M is the mother of N (from statement 2), and N is the sister of Q (from statement 3).
Since M is Q's mother, P, being M's brother, is the maternal uncle of Q.
The term "maternal" refers to the mother's side of the family, so P is the brother of Q's mother, making him Q's maternal uncle.
Therefore, option (3) correctly shows that P - M + N \(\times\) Q