Understanding the Code Language

The problem provides a code language where symbols represent specific relationships. Let's define them:

• 'A + B' means 'A is the wife of B'.
• 'A - B' means 'A is the sister of B'.
• 'A \(\times\) B' means 'A is the father of B'.
• 'A \(\div\) B' means 'A is the brother of B'.

Decoding the Expression: E \(\div\) F + G \(\times\) H - I

Let's break down the given relationship string step-by-step:

1. E \(\div\) F: The symbol '\(\div\)' translates to 'brother of'. So, E is the brother of F. This tells us that E is male.
2. F + G: The symbol '+' translates to 'wife of'. Therefore, F is the wife of G. This tells us that F is female, and G is her husband (male).
3. G \(\times\) H: The symbol '\(\times\)' translates to 'father of'. Thus, G is the father of H. This confirms G is male. Since F is G's wife, F must be the mother of H.
4. H - I: The symbol '-' translates to 'sister of'. So, H is the sister of I. This tells us that H is female, and importantly, H and I are siblings.

Building the Family Tree

Let's piece together the deduced relationships to visualize the family structure:

• From E \(\div\) F, we know E is the brother of F.
• From F + G, we know F is the wife of G. This means G is the husband of F.
• From G \(\times\) H, G is the father of H. Since F is G's wife, F is the mother of H.
• From H - I, H is the sister of I. Since H and I are siblings, they share the same parents, F and G.

Therefore, F is the mother of I.

Determining E's Relationship to I

Now, let's connect E to I based on the established family links:

• We established earlier that E is the brother of F.
• We also established that F is the mother of I.
• Combining these two facts, E is the brother of I's mother.

The brother of someone's mother is known as their maternal uncle.

Considering the given options, 'Mother's brother' accurately describes the relationship of E to I.