To determine whether the sets [tex]\( D \)[/tex] and [tex]\( E \)[/tex] are equal, we need to compare their elements. Two sets are considered equal if and only if they contain exactly the same elements, regardless of the order in which those elements are listed.
Given the sets:
- [tex]\( D = \{77, 4, 9, 606, 3\} \)[/tex]
- [tex]\( E = \{3, 4, 77, 9, 696\} \)[/tex]
Now we compare the elements of sets [tex]\( D \)[/tex] and [tex]\( E \)[/tex]:
Elements in [tex]\( D \)[/tex]:
- 77
- 4
- 9
- 606
- 3
Elements in [tex]\( E \)[/tex]:
- 3
- 4
- 77
- 9
- 696
We observe that the elements 77, 4, 9, and 3 are common to both sets. However, the element 606 is present in set [tex]\( D \)[/tex] but not in set [tex]\( E \)[/tex], and the element 696 is present in set [tex]\( E \)[/tex] but not in set [tex]\( D \)[/tex].
Since both sets do not contain exactly the same elements, they are not equal.
Therefore, the correct answer is:
- No
