someone please help me? :)

the document is attached.

Question

someone please help me? :)

the document is attached.

anonymous · Answer

attachment

amistre64 · Answer

the operators should remind you of inequalities

amistre64 · Answer

is d<e means; are all the elements of d contained within e, such that e has at least one more element than d

amistre64 · Answer

the others are similar to that but have the underline representing that the sets can have the same elements in total as well

amistre64 · Answer

part d tho rings a caution for me, the terminology used always threw me for a loop

anonymous · Answer

Okay, tell me if im right.
D is a proper subset of E, because everything in D is included in E.

amistre64 · Answer

equal sets contain the exact same elements; equivalent sets contain the same number of elements, but the elements can differ

anonymous · Answer

for part a.

amistre64 · Answer

that is correct, proper subset meaning that E is bigger in number than D to begin with

anonymous · Answer

okay. and part b is true too right?

amistre64 · Answer

yes, D is contained with in U or is equal to U, either condition is sufficient for truth

anonymous · Answer

because everything in D is a subset of U?

amistre64 · Answer

yes

anonymous · Answer

im stumped on part c.. now

amistre64 · Answer

Either F is contained within F, or is equal to F.  true or false?

anonymous · Answer

true.

amistre64 · Answer

i agree, its true.

anonymous · Answer

because F is F lol.. because all elements are the same?

amistre64 · Answer

yep

anonymous · Answer

and F is not equivalent to D.

amistre64 · Answer

terminology here; equivalent means: same number of elements.

anonymous · Answer

wait it is because there are 4 in each

amistre64 · Answer

do F and D have the same number of elements?

correct

anonymous · Answer

how would i answer the last one. would it be the number of elements too?

amistre64 · Answer

there is some formula for that that I can never recall.  but essentially its all the subsets that can be made from it; from 9 elements all the way down to no elements

anonymous · Answer

isn't it 2^n

amistre64 · Answer

9c9 + 9c8 + 9c7 ... something like that

2^n sounds familiar, but I cant be sure

amistre64 · Answer

2^n - 1 or +1 maybe

anonymous · Answer

so maybe it's 2^9

amistre64 · Answer

if we gots 3 elements

a,b,c  the subsets are:

abc
ab ac bc
a b c
null

8 sets 2^3 = 8

amistre64 · Answer

4elements would be:

abcd
abc abd acd bcd
ab ac ad bc bd cd
a b c d
nul

16 sets; is that 2^4?

amistre64 · Answer

2^n looks like its right

anonymous · Answer

So i just solve 2^9 and i get my last answer...

amistre64 · Answer

yep

anonymous · Answer

thank you so much! your amazing lol:) I was so lost... thanks!

amistre64 · Answer

you did fine :)  good luck

anonymous · Answer

thanks!