Explanation:

The question provides a set of relational definitions and an expression: $\text{T} \div \text{V} + \text{Q} - \text{J} \times \text{M} + \text{U}$. We need to determine how $\text{T}$ is related to $\text{J}$. Let's break down the expression step by step using the given definitions: 1. $\text{T} \div \text{V}$: "$\text{A} \div \text{B}$ means $\text{A}$ is husband of $\text{B}$." So, $\text{T}$ is the husband of $\text{V}$. This implies $\text{T}$ is male and $\text{V}$ is female. 2. $\text{V} + \text{Q}$: "$\text{A} + \text{B}$ means $\text{A}$ is mother of $\text{B}$." So, $\text{V}$ is the mother of $\text{Q}$. Since $\text{T}$ is $\text{V}$'s husband, $\text{T}$ is the father of $\text{Q}$. 3. $\text{Q} - \text{J}$: "$\text{A} - \text{B}$ means $\text{A}$ is wife of $\text{B}$." So, $\text{Q}$ is the wife of $\text{J}$. This implies $\text{Q}$ is female and $\text{J}$ is male. 4. $\text{J} \times \text{M}$: "$\text{A} \times \text{B}$ means $\text{A}$ is brother of $\text{B}$." So, $\text{J}$ is the brother of $\text{M}$. This implies $\text{J}$ is male. (The last part $\text{M} + \text{U}$ is not needed to relate $\text{T}$ to $\text{J}$). Now, let's establish the relationship between $\text{T}$ and $\text{J}$: From step 2, $\text{T}$ is the father of $\text{Q}$. From step 3, $\text{Q}$ is the wife of $\text{J}$. Therefore, $\text{T}$ is the father of $\text{J}$'s wife. In other words, $\text{T}$ is $\text{J}$'s father-in-law. Let's analyze the options: A) Father-in-law: This option correctly identifies $\text{T}$ as the father-in-law of $\text{J}$. B) Son-in-law: This would mean $\text{J}$ is $\text{T}$'s son-in-law, not $\text{T}$ being $\text{J}$'s son-in-law. C) Father: This would mean $\text{T}$ is $\text{J}$'s direct father, which is incorrect. D) Brother: This would mean $\text{T}$ and $\text{J}$ are siblings, which is incorrect.