Step-by-Step Relationship Analysis

To determine K's relationship to N, we must first decode the symbols and then build the family tree based on the given expression.

1. Symbol Definitions

• P ψ Q means P is the mother of Q.
• P ∈ Q means P is the sister of Q.
• P \ Q means P is the father of Q.
• P # Q means P is the brother of Q.

2. Decoding the Expression: KψL∈M#N

We can break down the expression into a series of relationships:

1. K ψ L means "K is the mother of L". This tells us K is female.
2. L ∈ M means "L is the sister of M". This means L and M are siblings.
3. M # N means "M is the brother of N". This means M and N are siblings.

3. Combining the Relationships

From the decoded statements, we can establish the complete family structure:

• From "L is the sister of M" and "M is the brother of N", we know that L, M, and N are all siblings.
• From "K is the mother of L", and knowing that L, M, and N are siblings, it follows that K is the mother of all three of them.

Conclusion

Since N is a child of K, K's relationship to N is that of a Mother.