To determine which of the given statements represents a correct relationship, we need to evaluate each statement:
1. [tex]\( 1,078 = 1,087 \)[/tex]
2. [tex]\( 7,056 < 7,065 \)[/tex]
3. [tex]\( 3,856 < 3,586 \)[/tex]
4. [tex]\( 20,020 > 20,200 \)[/tex]
5. [tex]\( 300 > 3,000 \)[/tex]
Let's analyze each statement one by one:
1. [tex]\( 1,078 = 1,087 \)[/tex]
When comparing 1,078 and 1,087, we see that 1,078 is not equal to 1,087. Therefore, this statement is false.
2. [tex]\( 7,056 < 7,065 \)[/tex]
When comparing 7,056 and 7,065, we see that 7,056 is indeed less than 7,065. Therefore, this statement is true.
3. [tex]\( 3,856 < 3,586 \)[/tex]
When comparing 3,856 and 3,586, we see that 3,856 is not less than 3,586, but rather greater. Therefore, this statement is false.
4. [tex]\( 20,020 > 20,200 \)[/tex]
When comparing 20,020 and 20,200, we see that 20,020 is not greater than 20,200, but rather less. Therefore, this statement is false.
5. [tex]\( 300 > 3,000 \)[/tex]
When comparing 300 and 3,000, we see that 300 is not greater than 3,000, but rather less. Therefore, this statement is false.
Summarizing the evaluations:
- [tex]\( 1,078 = 1,087 \)[/tex]: False
- [tex]\( 7,056 < 7,065 \)[/tex]: True
- [tex]\( 3,856 < 3,586 \)[/tex]: False
- [tex]\( 20,020 > 20,200 \)[/tex]: False
- [tex]\( 300 > 3,000 \)[/tex]: False
The only correct statement that represents a correct relationship is: [tex]\( 7,056 < 7,065 \)[/tex].
Thus, the correct relationship among the given statements is [tex]\( 7,056 < 7,065 \)[/tex].
