Which of the following sentences are statements? Give reasons for your answer `:`
The sum of 5 and 7 is greater than 10.

Answer

To determine whether the given sentence "The sum of 5 and 7 is greater than 10" is a statement, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Sentence**: The sentence we are analyzing is "The sum of 5 and 7 is greater than 10."

2. **Evaluate the Mathematical Expression**: First, we need to calculate the sum of 5 and 7.
\[ 5 + 7 = 12 \]

3. **Compare the Result to 10**: Next, we compare the result (12) to 10 to see if the statement holds true.
\[ 12 > 10 \]
This comparison shows that the statement is indeed true.

4. **Determine if it is a Statement**: A statement in mathematical reasoning is a declarative sentence that is either true or false, but not both. Since we have established that the sentence "The sum of 5 and 7 is greater than 10" is true, we can conclude that it is a statement.

5. **Conclude**: Therefore, we can conclude that the sentence is a statement because it is a declarative sentence that can be evaluated as true.

### Final Answer:
The sentence "The sum of 5 and 7 is greater than 10" is a statement because it is a declarative sentence that can be evaluated as true.

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