Question 127
1. List the elements of the sets:
$$
A = \left\{ a \in \mathbb{Q} \mid a = \sqrt{\frac{2 - x}{4}},\ x \in \mathbb{N}^* \right\} \text{ and } B = \left\{ x \in \mathbb{N}^* \mid a = \sqrt{\frac{2 - x}{9}},\ a \in \mathbb{Q} \right\}
$$
Determine $A \cup B$, $A \cap B$, $A \setminus B$, $B \setminus A$.
$$
A = \left\{ a \in \mathbb{Q} \mid a = \sqrt{\frac{2 - x}{4}},\ x \in \mathbb{N}^* \right\} \text{ and } B = \left\{ x \in \mathbb{N}^* \mid a = \sqrt{\frac{2 - x}{9}},\ a \in \mathbb{Q} \right\}
$$
Determine $A \cup B$, $A \cap B$, $A \setminus B$, $B \setminus A$.