SOLUTION: Problem says this, and it is a multiple choice question: 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

Algebra ->  sets and operations -> SOLUTION: Problem says this, and it is a multiple choice question: 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      Log On


   



Question 482658: Problem says this, and it is a multiple choice question:
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}
Multiple choice possibilities:
1. E ⊂ A
2. C ⊂ A
3. D ⊆ B
4. C ⊂ B
5. D ⊂ A
Could someone help me with this, please? Thank you.

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Problem says this, and it is a multiple choice question:
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} 

You need to learn the difference betweeen ⊂ and ⊆.

It's like the difference between < and ≤.  A line under either symbol
means "EQUALITY IS ALLOWED BUT NOT REQUIRED",  When there is no line
underneath, it means "EQUALITY IS NOT ALLOWED".


Multiple choice possibilities:
1. E ⊂ A, TRUE because "a,b,&l" are all part of but not all of "b,l,a,z,&e" 
2. C ⊂ A, TRUE because "a,b,l,&e" are all part of but not all of "b,l,a,z,&e  
3. D ⊆ B, TRUE because "l,a,&b" is part of or all of "b,a,l,&e".  
4. C ⊂ B, FALSE because "a,b,l,&e" is ALL OF, not just part of "b,a,l,&e"
5. D ⊂ A, TRUE because "l,a,&b" are all part of but not all of "b,l,a,z,&e" 

Edwin