Let's break down the inequality to analyze it step by step:

The inequality is:

\[
\pi < 4 \quad \text{and} \quad \pi^2 < 16
\]

### First inequality: \( \pi < 4 \)
The value of \( \pi \) (approximately 3.14159) is indeed less than 4. So this part of the inequality is **true**.

### Second inequality: \( \pi^2 < 16 \)
The value of \( \pi^2 \) can be calculated as:

\[
\pi^2 \approx 3.14159^2 \approx 9.8696
\]

Since \( 9.8696 < 16 \), this part of the inequality is also **true**.

### Conclusion:
Both parts of the inequality are true, so the entire inequality is **true**.

Do you want further details on the reasoning? Here are 5 related questions:

1. What is the value of \( \pi^3 \) and how does it compare to a given number?
2. How does \( e \) (Euler’s number) compare to \( \pi \) in terms of magnitude?
3. How can inequalities involving irrational numbers be solved?
4. What are some common uses of \( \pi \) in geometry and calculus?
5. How is \( \pi \) derived and why is it an irrational number?

**Tip**: When working with inequalities involving irrational numbers like \( \pi \), it's useful to know approximate values to compare them effectively.

Explore the solution to the inequality 𝝅 < 4 and 𝝅^2 < 16, involving the irrational number π. This step-by-step guide breaks down how to compare π and its square with numerical values, suitable for students in Grades 9-11.

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