SOLUTION: 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

Algebra.Com
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
RELATED QUESTIONS

INSTRUCTIONS: Select the conclusion that follows in a single step from the given... (answered by jim_thompson5910)
In the diagram below the word "ALGEBRA" is written in the shape of a diamond. As you see, (answered by lynnlo)
If U + {t,r,a,v,e,l}, A={t,a,l,e} and B={r,a,v,e}, then the set {t,l}... (answered by Edwin McCravy)
Construct a Venn diagram illustrating the following sets. U = {a, b, c, d, e, f, g, h,... (answered by richwmiller)
P l e a s e h e l p m e s o l v e t h i s f i n d t h e c a p a c i t y i n l i... (answered by rothauserc)
Suppose that set A = \{a, e, L, 0, u\} set B = \{a, b, c, d, e\} set C = (1, 2) Calculate (answered by ikleyn)
Let U = {a, b, c, d, e, f, g, h, i, j, k, l} and A = { a, c, f, h, k, l} Find the... (answered by solver91311)
A={I,c,e} B= {H,o,c,l,e,y} C= {c,u,r,l,i,n.g} Create label and place elements... (answered by Fombitz)
4. The resistance (R) of a copper wire varies directly as its length (L). Write this... (answered by Alan3354)
l and m intersect at e a contains cd a,b and c lies on l a and b intersect at pr (answered by Fombitz)