Let's break down the given inequality step by step:

You are given:  
\[
- \pi < -2
\]
and you are trying to check if this implies:
\[
\pi^2 < 4.
\]

### Step 1: Analyze the first inequality \(-\pi < -2\)
Since \(\pi\) is approximately \(3.1416\), we know that:
\[
-\pi \approx -3.1416
\]
Comparing \(-\pi\) and \(-2\):
\[
-3.1416 < -2.
\]
This inequality holds true.

### Step 2: Evaluate the second inequality \(\pi^2 < 4\)
Now let's square \(\pi\). We know that \(\pi^2 \approx 3.1416^2 = 9.8696\). So:
\[
\pi^2 \approx 9.8696.
\]
Now, compare \(\pi^2\) with 4:
\[
9.8696 > 4.
\]
This inequality does **not** hold true.

### Conclusion:
The first inequality \(-\pi < -2\) is true, but the second inequality \(\pi^2 < 4\) is false. Therefore, the implication does not hold:
\[
- \pi < -2 \nRightarrow \pi^2 < 4.
\]

Let me know if you'd like further details or have any other questions!

Here are 5 related questions for practice:
1. Does squaring a negative number affect the inequality sign?
2. How does the square of a real number affect its size compared to the original number?
3. What is the relationship between \(-a\) and \(-b\) if \(a > b\)?
4. Can an inequality involving powers be reversed by squaring both sides?
5. What is the value of \(\pi^4\) and how does it compare to other powers of \(\pi\)?

**Tip:** Be cautious when dealing with inequalities and squaring both sides—squaring can change the nature of the inequality!

Explore the inequality 𝝅 < -2 and whether it implies that 𝝅^2 < 4. This solution breaks down the mathematical reasoning, including the properties of 𝝅 and basic inequality rules. Ideal for students in Grades 9-10 learning about inequalities and squaring numbers.

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