SOLUTION: U = {0,1,2,3,4,5,6,7,8,9} P= {1,3,5,7,9} Q = {2,4,6} R= {6,8} 1) Find the subset of Q Ans. Q = {2,4,6} 2) Find the proper subset of R Ans. R={6},{8} Please can

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Question 1127959: U = {0,1,2,3,4,5,6,7,8,9}
P= {1,3,5,7,9}
Q = {2,4,6}
R= {6,8}
1) Find the subset of Q

Ans. Q = {2,4,6}
2) Find the proper subset of R
Ans. R={6},{8}
Please can you check if my answers are correct.
I don’t understand the difference of a subset and proper subset?
Found 2 solutions by Edwin McCravy, MathLover1:
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
I'm afraid your answers are wrong.  The empty set is a subset of
every set.

U = {0,1,2,3,4,5,6,7,8,9}
P= {1,3,5,7,9}
Q = {2,4,6}
R = {6,8}
1) Find all the subsets of Q = {2,4,6}
You must list all 2³ or 8 subsets, including the IMproper one.

1. Ø
2. {2}
3. {4}
4. {6}
5. {2,4}
6. {2,6}
7. {4,6}
8. {2,4,6}   <-- that's the only IMproper subset because it is
                 not properly "sub" to {2,4,6}, for it is the
                 whole set.

2) Find all proper subsets of R = {6,8}
You must list all subsets, except the IMproper one, {6,8}
1. Ø
2. {6}
3. {8}

Note that we do not include {6,8} for it is not properly "sub" to
{6,8}, for it is the whole set.

I don’t understand the difference of a subset and proper subset?
All subsets of a given set are proper subsets except the whole given
set itself.  The whole set is the only IMproper subset.          

Edwin
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

A subset is either all of the elements of a set or just some of the elements. This is its mathematical symbol: ⊆.Because b and c are elements of set A, {b,c} ⊆ A.Because a, b and c are in set A, {a,b,c} ⊆ A.
A proper subset is a subset that contains some, but not all, of the elements of the original set.
so, is
Q = {2,4,6}
the subsets of Q are:
{} | {2} | {4} | {6} | {2, 4} | {2, 6} | {4, 6} | {2, 4, 6} (total: 8)
R= {6,8}
the proper subset of R
{} | {6} | {8}


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