It looks like you've uploaded an image from a math textbook. The image shows exercises involving relations between sets. Here's a breakdown of the tasks in the image:

1. Task 1:
   "Write $R$ and represent it by an arrow diagram."
   This is asking you to define the relation $R$ and then represent it graphically, likely by showing how elements of one set map to elements of another set.

2. Task 2:
   "If $2 \,a\, R \,3$, find the value of $a$."
   This seems to refer to a specific relation $R$ that connects elements of two sets, and you're tasked with determining the value of $a$ when given $2 R 3$.

3. Task 3:
   "If $X = \{2, 3, 4\}$, $Y = \{6, 9, 12, 15\}$ and $R$ is a relation from $X$ to $Y$ where 'a R b' means '3a = b' for each $a \in X$ and $b \in Y$, write $R$ and represent it by an arrow diagram. Also, show that $R$ is a function from $X$ to $Y$."
   This problem asks you to write the relation $R$, show the connections between elements of $X$ and $Y$ (using the rule $3a = b$), and prove that this relation is a function (which likely means each element of $X$ is associated with exactly one element in $Y$).

Would you like assistance solving any of these exercises or further explanations on how to represent relations? Let me know which one you'd like to focus on!

Here are 5 questions that can expand on this information:

1. What is the general definition of a relation between two sets?
2. How can we determine if a relation is a function?
3. How do we represent a relation using an arrow diagram?
4. What does it mean for a relation to satisfy a certain rule (e.g., $3a = b$)?
5. How would we verify that a relation is injective or surjective?

Tip: When working with relations, always check if every element in the domain has a unique image in the range to confirm it's a function!