Question 320034: 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
Answer by Edwin McCravy(20054)   (Show Source):
You can put this solution on YOUR website!
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
That means that {a, b, l} contains only elements of {a, b, l, e}, but doesn't contain them all.
That's true.
E ⊆ B
That means that {a, b, l} contains only elements of {b, a, l, e}, and may even contain them all.
That's also true. It doesn't contain them all, but it doesn't have to.
D ⊆ B
That means that {l, a, b} contains only elements of {b, a, l, e}, and may even contain them all.
That's also true. It doesn't contain them all, but it doesn't have to.
B ⊂ C
That means that {b, a, l, e} contains only elements of {a, b, l, e}, but doesn't contain them all.
That's false because it contains them all.
C ⊆ A
That means that {a, b, l, e} contains only elements of {b, l, a, z, e, r}, and may even contain them all.
That's also true. It doesn't contain them all, but it doesn't have to.
So the only false one is B ⊂ C
Edwin
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