Let` P(n) :n^(2) >9`. Is P(2) true?

Answer

To determine if the statement \( P(2) : 2^2 > 9 \) is true, we will evaluate it step by step.

### Step 1: Substitute \( n = 2 \) into the expression
We start with the expression given in the statement \( P(n) : n^2 > 9 \). We substitute \( n \) with \( 2 \):

\[ P(2) : 2^2 > 9 \]

### Step 2: Calculate \( 2^2 \)
Now we calculate \( 2^2 \):

\[ 2^2 = 4 \]

### Step 3: Compare \( 4 \) with \( 9 \)
Next, we compare the result \( 4 \) with \( 9 \):

\[ 4 > 9 \]

### Step 4: Determine the truth value
The statement \( 4 > 9 \) is false. Therefore, we conclude that:

\[ P(2) \text{ is false.} \]

### Final Conclusion
Thus, the answer to the question is:

\[ \text{No, } P(2) \text{ is not true.} \]

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