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 =15`.

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 = 15".

Let's break this down into its component statements:
- Let \( p \): "Kota is in England".
- Let \( q \): "7 + 7 = 15".

### Step 2: Determine the Truth Values of the Component Statements
Now, we need to check the truth values of the component statements \( p \) and \( q \):
- For \( p \): "Kota is in England" is **false** (since it is stated that Kota is in India).
- For \( q \): "7 + 7 = 15" is also **false** (because \( 7 + 7 = 14 \)).

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

In logic, the implication \( p \rightarrow q \) is only false when \( p \) is true and \( q \) is false. In all other cases (when \( p \) is false), the implication is considered true.

Since both \( p \) and \( q \) are false:
- \( p \) is false.
- \( q \) is false.

According to the truth table for implications:
- If \( p \) is false and \( q \) is false, then \( p \rightarrow q \) is **true**.

### Final Conclusion
Thus, the compound statement "If Kota is in England, then 7 + 7 = 15" is **true**.

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