SOLUTION: Given the following sets, select the statement below that is not true. A= {l,a,t,e,r}, B = {l,a,t,e} C= {t,a,l,e} D= {e,a,t} E = {t,e,a} C is a proper subset of D E is

Algebra ->  Subset -> SOLUTION: Given the following sets, select the statement below that is not true. A= {l,a,t,e,r}, B = {l,a,t,e} C= {t,a,l,e} D= {e,a,t} E = {t,e,a} C is a proper subset of D E is       Log On


   

Question 468979: Given the following sets, select the statement below that is not true. A= {l,a,t,e,r}, B = {l,a,t,e} C= {t,a,l,e} D= {e,a,t} E = {t,e,a}
C is a proper subset of D
E is a subset of A
D is a subset of C
C is a subset of B
D is a proper subset of A
Answer by kingme18(98) About Me  (Show Source):
You can put this solution on YOUR website!
C is not a subset of D in any way; it has "l" and D doesn't. The first statement is wrong.

For future reference on this kind of problem...

B is a subset of A because every single element in B is in A. It is also a proper subset of A because it's not exactly the same as A.

B is a subset of C because every element in B is also in C. It is NOT a proper subset because it is identical to C (they have ALL the same elements).

If "X" is a subset of "Y", then every single element in "X" must be in "Y". If "X" is a proper subset of "Y", then every single element in "X" is in "Y", but there are other elements in "Y" as well.