For each of the following compounds statements , first identify the corresponding component statements. Then check whether the statements are true or not.
If Kota is in England, then `7+7 =14`.

Answer

To solve the given problem, we will follow these steps:

### Step 1: Identify the Component Statements
The compound statement given is: "If Kota is in England, then 7 + 7 = 14."

- Let \( p \) be the statement: "Kota is in England."
- Let \( q \) be the statement: "7 + 7 = 14."

### Step 2: Determine the Truth Values of the Component Statements
Now we need to evaluate the truth values of the component statements \( p \) and \( q \).

1. **Evaluate \( p \)**: "Kota is in England."
- This statement is **false** because it is given that Kota is in India.

2. **Evaluate \( q \)**: "7 + 7 = 14."
- This statement is **true** because the arithmetic operation is correct.

### Step 3: Analyze the Compound Statement
The compound statement is of the form "If \( p \), then \( q \)" (denoted as \( p \rightarrow q \)).

In logic, the truth value of an implication \( p \rightarrow q \) can be summarized as follows:
- If \( p \) is true and \( q \) is true, then \( p \rightarrow q \) is true.
- If \( p \) is true and \( q \) is false, then \( p \rightarrow q \) is false.
- If \( p \) is false and \( q \) is true, then \( p \rightarrow q \) is true.
- If \( p \) is false and \( q \) is false, then \( p \rightarrow q \) is true.

In our case:
- \( p \) is false (Kota is not in England).
- \( q \) is true (7 + 7 = 14).

Since \( p \) is false and \( q \) is true, we have:
- \( p \rightarrow q \) is **true**.

### Conclusion
The truth value of the compound statement "If Kota is in England, then 7 + 7 = 14" is **true**.