To determine which statement is NOT true, we need to carefully compare each set.
A = {b, l, a, z, e, r}
B = {b, a, l, e}
C = {a, b, l, e}
D = {l, a, b}
E = {a, b, l}
Let's evaluate each statement and see if it holds:
1) E ⊂ C
This statement is true because all the elements of set E (a, b, l) are also present in set C (a, b, l, e).
2) C ⊆ B
This statement is not true. Set C is not a subset of set B because set C contains an additional element, 'e', which is not present in set B.
3) D ⊆ C
This statement is true because all the elements of set D (l, a, b) are also present in set C (a, b, l, e).
4) B ⊆ C
This statement is true because all the elements of set B (b, a, l, e) are also present in set C (a, b, l, e).
5) C ⊆ D
This statement is not true. Set C is not a subset of set D because set C contains an additional element, 'e', which is not present in set D.
Therefore, the statement that is NOT true is: C ⊆ B