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N ∪ ~L
That would be all of N, with exclusion to L, correct?

you need to label your circles, L, N, M

|dw:1350207517903:dw|

but anyway isn't the union of N and ~L the same as the union of N and M excluding 38, 44.

I don't know. That's why I asked you guys...

@sauravshakya ? ;-;

OH WAIT!
(N ∩ ~L) ∪(L ∩ M) <-----

~L = all number except those in L = {35,51,42,38,29,31,64}
got this ?

aahaaa!

(N ∩ ~L)
This will be what N and L have in common?

N and ~L in common

did u get ~L ?

~L = all number except those in L = {35,51,42,38,29,31,64}
got this ?

Yes,
so all numbers in common with N except L?

∩ = common elements = and

N =all elements in circle N

Oh okay!
~L= {35,51,42,38,29,31,64},
N = {38,42,29,64,31,44}
{29, 31, 38, 42, 64}
Correct?

\(\huge \color{red}{\checkmark}\)

{29, 31, 38, 42, 64} ∪ (L ∩ M
Is that what we're left with?

(L ∩ M ) = common elements between L and M = ??

Ok. Give me a second. I have to go do something, I will be back in five minutes.
Will you be on?

yes

Yes

(L ∩ M ) = common elements between L and M = ??

{35, 38, 42, 45, 51}
{38, 44, 45}
{38, 45}
Correct?

consider those 2 38's as different elements

so it will be only 45

Wait. I don't get why they're different elements?

{29, 31, 38, 42, 64} ∪ {45}
Correct?

\(\huge \color{red}{\checkmark}\)
and that equals ?

Now this means we put the numbers together, and cancel like terms?

cancel ? not totally, keep exactly 1 instance
example {25,26,27}U{26,27,28}={25,26,27,28}

{29, 31, 38, 42, 64} ∪ {45}
{29, 41, 38, 42, 45, 64}
Correct?

{29, 31, 38, 42, 45, 64}

\(\huge \color{red}{\checkmark}\)

Thanks XD

Welcomes ^_^

How do you do the checkmark?