Answer:
To find the set difference [tex]\( N - L \)[/tex], we list the elements that are in set [tex]\( N \)[/tex] but not in set [tex]\( L \)[/tex].
Given the sets:
[tex]\[ N = \{1, 3, 5, 7, 9, 11, 13\} \][/tex]
[tex]\[ L = \{4, 8, 12, 16, 20\} \][/tex]
Checking each element of \( N \) to see if it is not in [tex]\( L \)[/tex]:
- [tex]\( 1 \) is not in \( L \)[/tex]
- [tex]\( 3 \) is not in \( L \)[/tex]
- [tex]\( 5 \) is not in \( L \)[/tex]
- [tex]\( 7 \) is not in \( L \)[/tex]
- [tex]\( 9 \) is not in \( L \)[/tex]
- [tex]\( 11 \) is not in \( L \)[/tex]
- [tex]\( 13 \) is not in \( L \)[/tex]
None of the elements of [tex]\( L \)[/tex]
So, the set difference [tex]\( N - L \)[/tex] is [tex]\( \{1, 3, 5, 7, 9, 11, 13\} \)[/tex]).
Step-by-step explanation: