Let me analyze the questions from the image and provide the correct answers:

Question 4:

This question involves determining the path of two individuals, Avelina and Belinho, who walk along different segments of a square and triangle. The information suggests that Avelina covered a longer path than Belinho, and you're asked to confirm this with calculations. Based on the image:

• Avelina's path: 15 + 15 + 10 + 10 = 50.
• Belinho's path: The diagonal (using the Pythagorean theorem) of the square: $\sqrt{15^2 + 15^2} = \sqrt{450} \approx 21.91$, and then the 10 + 10 (from triangle BC). Total for Belinho = 21.91 + 20 = 41.91.

Thus, Avelina’s path is indeed longer. So the correct interpretation is that Avelina walked more than Belinho.

Question 5:

The system to solve is $3x - \sqrt{3} = 2x - 3$. Solving this:

• $3x - 2x = 3 - \sqrt{3}$
• $x = 3 - \sqrt{3}$

This is the solution to the system, so the final answer seems to be x = 3 - \sqrt{3}.

Question 6:

The inequality $\frac{88}{\sqrt{121}} \leq x \leq \frac{15}{2}$ simplifies to:

• $\frac{88}{11} = 8$
• $\frac{15}{2} = 7.5$

Therefore, the solution is $7.5 \leq x \leq 8$. So the set of possible solutions for x is [7.5, 8].

Question 9:

In this problem, you're asked to calculate the maximum area of a triangular region along a river. The given dimensions seem to suggest that the answer to maximizing the area occurs when the dimensions are $15 \, \text{m} \times 15 \, \text{m}$.

Thus, the correct answer appears to be 15 m x 15 m.

Question 10:

The time taken for the food to reach a non-positive temperature involves solving the given equation $y = 81 - 17t + 22$, where the temperature goes to zero:

• Setting $y = 0$ and solving for $t$:

  $0 = 81 - 17t + 22$

  $17t = 103$

  $t \approx 6.06$ minutes.

Therefore, the closest option is 9 minutes.

Summary of answers:

1. Avelina walked more than Belinho.
2. Solution for the system in Question 5: x = 3 - √3.
3. Solution for the inequality in Question 6: [7.5, 8].
4. The maximum area in Question 9: 15 m x 15 m.
5. The time to reach non-positive temperature in Question 10: 9 minutes.

Would you like further details on any of these solutions? Here are some additional questions for you to explore:

1. How does the Pythagorean theorem help in calculating distances in geometric problems like the one in Question 4?
2. Could the solution to the system in Question 5 change if the inequality was slightly altered?
3. How do you calculate the area of a triangle, and why is it maximized with certain dimensions in Question 9?
4. How does time-dependent decay, like the one in Question 10, apply in real-life scenarios like cooling or heating?
5. Can the method used to solve Question 6 be applied to other types of inequalities, like quadratic or exponential ones?

Tip: For problems involving inequalities, always start by simplifying both sides and isolating the variable before solving for its value.