Given the following sets, select the statement below that is NOT true.

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}

a.) E ⊆ A
b.) C ⊆ B
c.) D ⊆ C
d.) D ⊂ B
e.) C ⊂ B

To determine which statement is NOT true, we can compare the elements of the given sets and see if the relationship stated in each statement holds.

a.) E ⊆ A: This statement is true. Set E is a subset of set A because every element of E (a, b, and l) is also an element of A.

b.) C ⊆ B: This statement is true. Set C is a subset of set B because every element of C (a, b, l, and e) is also an element of B.

c.) D ⊆ C: This statement is true. Set D is a subset of set C because every element of D (l, a, and b) is also an element of C.

d.) D ⊂ B: This statement is true. Set D is a proper subset of B because every element of D (l, a, and b) is also an element of B, but there is an additional element in B (e) that is not in D.

e.) C ⊂ B: This statement is NOT true. Set C is not a proper subset of B because every element of C (a, b, l, and e) is also an element of B. In fact, C and B have the same elements, so C is equal to B, not a proper subset.

Therefore, the statement that is NOT true is e.) C ⊂ B.