You can go away, or you can keep yourself to yourself. Use a logical connective to describe the statement "If you go away, then you keep yourself to yourself."

$P = \{3, 5, 6\}$
$Q = \{1, 2, 4\}$

The union $P \cup Q$ includes all elements that are in $P$ or in $Q$ (or both).

This corresponds to option A.

The final answer is $\boxed{\text{A. } \{1, 2, 3, 4, 5, 6\}}$.

$p$: "You can go away"
$q$: "You love yourself"

then ..." into logical notation.
The phrase "If A then B" is represented by $A \implies B$.
Therefore, "If you go away then you love yourself" is represented by $p \implies q$.
This corresponds to option C.

The final answer is $\boxed{\text{C. } p \implies q}$.

When a fair die is rolled once, the possible outcomes are $\{1, 2, 3, 4, 5, 6\}$.
The total number of outcomes is 6.

The event is "obtaining a 2 or a 5". The favorable outcomes are $\{2, 5\}$.
The number of favorable outcomes is 2.

The probability of an event is the ratio of the number of favorable outcomes to the total number of outcomes.

The final answer is $\boxed{\frac{1}{3}}$.

Note on other questions:

• Question 7 (Truth Table): The last column of the truth table is not visible in the image, which is necessary to determine which logical expression matches it. Therefore, this question cannot be answered.
• Question 8 (Logarithm): The question "If $\log_x y = 1.5$, ..." is incomplete, so it cannot be solved.