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}
E � C
E � B
D � B
B � C
C � A
I chose the last one. Did I choose correctly?
I cannot interpret the symbol between the sets in the answers.
However, by looking at the answers, I suppose it is the symbol ⊂ which means "is a proper subset of".
If A⊂B, A is a proper subset of B, means that all elements of A are also elements of B, and such that A≠B, i.e. the cardinality of A must be less than the cardinality of B.
Out of the 5 responses, all the elements of the first set are in the second set. However, there is one case where the two set contain identical elements, i.e. they also have the same number of elements.
Can you find which case?
To determine if the statement "C � A" is true or not, we need to understand what the symbol "�" represents. The symbol "�" indicates the set difference operation, which means subtracting the elements of one set from another.
So, "C � A" means we need to subtract the elements of set A from set C.
Set A = {b, l, a, z, e, r}
Set C = {a, b, l, e}
Subtracting the elements of set A from set C, we remove any common elements between the two sets. The result would be {e} since e is the only unique element in set C that is not in set A.
So, "C � A" = {e}
Now, checking the given options:
E � C = {a, b, l} (since set E has all the elements of set C)
E � B = {l} (since set E has 'l' which is not in set B)
D � B = {d} (since set D has 'd' which is not in set B)
B � C = {} (since set B has all the elements of set C)
C � A = {e}
Therefore, the statement "C � A" is not true as it should be {e}, not {e}.
So, you did not choose the correct statement. The correct choice would have been "C � A".