Which of the following is a subset of the set
A: {female children between the ages of 6 and 10}
Answer
{children between the ages of 6 and 8}
{female children 8 years of age}
{a 7 year old child}
{female children under 6 years old}
My answer A

Question

Which of the following is a subset of the set
A: {female children between the ages of 6 and 10}
Answer
		{children between the ages of 6 and 8}
		{female children 8 years of age}
		{a 7 year old child}
		{female children under 6 years old}
My answer A

anonymous · Answer

correct

mathmate · Answer

Children can be boys or girls, so they do not belong to the subset of female children.
Would you give it another try?

anonymous · Answer

i would but i think thats right because its saying female children

mathmate · Answer

But {children between the ages of 6 and 8} does not say female children, so boys can slip in there!

anonymous · Answer

Yeah but its asking the subset of A which is saying female children between the ages of 6 and 10

mathmate · Answer

A subset B of A can contain from 0 to all elements of A, but it CANNOT contain any element outside of A.
Set A contains all female children from 6 to 10 years old.
So a subset B of A can contain any or all of the following:
a. nobody
b. all girls 6 to 7 years old.
c. girls 10 years old.
d. all girls from 6 to 10 years old.
but it CANNOT be any of the following:
a. all girls from 6 to 10 years old AND a boy of any age.
b. all boys of any age
c. girls from 5 to 7 years old.

Hope that gives a better idea.

anonymous · Answer

so D?

mathmate · Answer

Set A contains female children from 6 to 10 years old.
D says {female children under 6 years old}.
Are they in set A?  If not, D cannot be the right answer.

anonymous · Answer

Wait but it never said anything about B

mathmate · Answer

You would ask:
{female children 8 years of age}
are ALL children in this set in set A?
If the answer is yes, that's the right answer.