Let's evaluate the logical expressions in the image.

Question 1:

Logical expression:
$\text{NOT} \left( (5 > 3) \text{ OR } (6 < 10) \right)$

1. Evaluate the inner expressions:

   • $5 > 3$ is True.
   • $6 < 10$ is True.

2. OR operator:

   • $\text{True} \text{ OR } \text{True}$ is True.

3. Apply the NOT operator:

   • $\text{NOT True}$ is False.

Thus, the statement evaluates to False, and the selected answer is correct.

Question 2:

Logical expression:
$\left( (2 + 2 = 5) \text{ OR } (8 > 5) \right) \text{ AND } \text{NOT} (10 > 5)$

1. Evaluate the inner expressions:

   • $2 + 2 = 5$ is False.
   • $8 > 5$ is True.
   • $10 > 5$ is True.

2. OR operator:

   • $\text{False} \text{ OR } \text{True}$ is True.

3. NOT operator on $10 > 5$:

   • $\text{NOT True}$ is False.

4. AND operator:

   • $\text{True} \text{ AND } \text{False}$ is False.

Thus, the statement evaluates to False, but the selected answer is True, which is incorrect.

Would you like more details or further clarifications? Here are 5 follow-up questions:

1. What is the difference between the AND and OR logical operators?
2. How does the NOT operator affect a logical expression?
3. Can you combine more than two logical operators in one expression?
4. Why does $(2 + 2 = 5)$ evaluate to False in logical operations?
5. How can De Morgan’s laws be applied to simplify logical expressions?

Tip: Always evaluate inner expressions first when working with complex logical statements, then apply operators like AND, OR, and NOT.