1. **Problem Statement:** Given a relation $R$, find the ordered pairs with specified first and second entries, and determine the domain and range of various relations. 2. **Recall Definitions:** - The domain of $R$ is the set of all first components in the ordered pairs of $R$. - The range of $R$ is the set of all second components in the ordered pairs of $R$. 3. **Part (a): Find ordered pairs in $R$ with given first entries:** 0, 1, 2, −2, 8, $\frac{1}{5}$, 3, −3. - To find these ordered pairs, we must know all ordered pairs of $R$ and select those whose first component matches each given value. - Since the full set $R$ is not explicitly given, this part is incomplete without the relation $R$. The user text references prior examples but does not supply $R$. 4. **Part (b): Find ordered pairs in $R$ with given second entries:** 8, −1, −8, −27, $\frac{1}{27}$. - Similarly, without explicit $R$, we cannot find these ordered pairs exactly. 5. **Example from the user:** For the set $R = \{(-2, 1), (-1, 0), (0, 0), (4, 2), (3, 5)\}$ - Domain: $\{-2, -1, 0, 4, 3\}$ - Range: $\{1, 0, 2, 5\}$ 6. **Another example:** Given $R = \{(5, 3), (-2, 4), (5, 2), (-2, 3)\}$ - Domain: $\{5, -2\}$ - Range: $\{3, 4, 2\}$ **Final summary:** - Without the full relation $R$, we cannot locate ordered pairs with the specified first or second entries. - From given examples, domain is the set of first elements of the pairs, range the set of second elements. **Note:** To answer parts (a) and (b) concretely, provide the full list of ordered pairs of $R$.