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Let`s analyze the given information and relationships to determine how E is related to F.
1. D, the salesman, is married to the lady teacher.
This means D and the lady teacher are a married couple.
2. The doctor is married to the lawyer.
This implies that the doctor and the lawyer are a married couple.
3. F, the accountant, is the son of B and brother of E.
This tells us that B is F`s parent and E is F`s sibling. It also means that B and E are not married to each other.
4. C, the lawyer, is the daughter-in-law of A.
This indicates that A is C`s mother-in-law.
5. A is the grandmother of F.
This implies that A is F`s grandmother.
Now, let`s analyze the relationships:
D (salesman) and the lady teacher are a married couple.
The doctor and the lawyer are a married couple.
This means that D (salesman) is not married to the doctor or the lawyer. The only remaining option is for D to be married to the lady teacher.
C (lawyer) is the daughter-in-law of A (grandmother).
Since C is the lawyer and the daughter-in-law of A, it means that C is married to A`s child. However, we don`t have any information about A`s child or their gender.
E (engineer) is the unmarried sibling of F (accountant).
From the given information, it is clear that E is F`s sibling, and E is unmarried.
Considering the above information, we can conclude that E is a sibling of F, but we cannot determine the gender of E based on the given information. Therefore, the relationship between E and F can be established as "sibling" (brother or sister). Thus, the correct answer is Option 4: Cannot be established.