Given `A={-2,-1,0,1,2}`, list the ordered pairs determined by each of the following relations applied on A:
`R_(4)` = ''is equal to''

Answer

To find the ordered pairs determined by the relation \( R_4 \) defined as "is equal to" on the set \( A = \{-2, -1, 0, 1, 2\} \), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Set**:
We start with the set \( A = \{-2, -1, 0, 1, 2\} \).

2. **Understand the Relation**:
The relation \( R_4 \) is defined as "is equal to". This means that for any two elements \( x \) and \( y \) in set \( A \), the ordered pair \( (x, y) \) will be included in the relation if \( x \) is equal to \( y \).

3. **Formulate the Ordered Pairs**:
Since the relation is "is equal to", we will only include pairs where both elements are the same. Thus, we will have the following pairs:
- \( (-2, -2) \)
- \( (-1, -1) \)
- \( (0, 0) \)
- \( (1, 1) \)
- \( (2, 2) \)

4. **List the Ordered Pairs**:
The complete list of ordered pairs for the relation \( R_4 \) is:
\[ R_4 = \{ (-2, -2), (-1, -1), (0, 0), (1, 1), (2, 2) \} \]

### Final Answer:
The ordered pairs determined by the relation \( R_4 \) on the set \( A \) are:
\[ R_4 = \{ (-2, -2), (-1, -1), (0, 0), (1, 1), (2, 2) \} \]