How to Identify the Elements of a Set | Set Theory

Sets contain elements, and sometimes those elements are sets, intervals, ordered pairs or sequences, or a slew of other objects! When a set is written in roster form, its elements are separated by commas, but some elements may have commas of their own, making it a little difficult at times to pick out the elements of a set.

In this lesson, we go over the process of identifying the elements in some nasty sets, and provide an example problem at the end.

Additionally, if you can identify the elements of a set, you can count them! And if you know how many elements are in the set, then you can figure out how many subsets it has, which is also the cardinality of its power set! Hope you enjoy the lesson!

I hope you find this video helpful, and be sure to ask any questions down in the comments!

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The outro music is by a favorite musician of mine named Vallow, who, upon my request, kindly gave me permission to use his music in my outros. I usually put my own music in the outros, but I love Vallow's music, and wanted to share it with those of you watching. Please check out all of his wonderful work.

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[Jason-vnio]

( 2, 3, 2) is element of S
{ 1, 3, { } } is element of S
[ 1, 4, ] is element of S
{ ( 2, 5 ), 8, 6, { 1, 9, }, 4 } } is element of S

Greetings, can you please let me know if I did this correctly? Ty and have a great day

[accountniano]

1. M = {x | x > 6, x is an odd integer}
2. A = {x | 9 < x < 10, x is a counting number
3. T = {x | x is a city in Metro Manila}
4. H = {x | x is a counting number between 4 and 28}
5. S = {x | x is a set of days with names containing x}

help me

[lvke]

how is N (nartual number) C W (whole number) is it because of it both not having brackets?

[fffff_yt]

wow thank you this was very useful if i ever forget i can come back to this video

[simonmwila]

Sir help with this one, how many subsets has set A given that set A=(a, c, 1, 0, 4, 2, 10, 12)

[dharylgarcia]

How we distinguish sir the elements of X'

[MenziMdlaloseSA]

For the first example is 3 an subst of of yes or no ?

[evansmunsha]

Please sir help me out. How do I answer this maths / A set has 4 elements find the number of subset

[metrodrillz]

Hello, my question is can the numbers
{ 1.5, 2.5, 3.5 }

Be a element ?

[adithyabala]

So If we r writing a subset we want to put curly brackets and if we r writing a element no need of bracket?

[Abc_x]

In the 1st curly bracket, we counted as 1 element before there is a close bracket, but didn’t do the same in the 2nd curly bracket. What’s the meaning of that Sir? I’m lost

[aj_zzz]

So in 2^2 x 3^2 what would the elements be?

[vasubhatt]

In one of your video you have said that, the cardinality of power set can be expressed by this equation 2^n, where 2 is showing the possibility of element either being a part of subset or not. But when we actually define a power set, can you please explain how this equation actually work? I mean assume we have a set with two elements, and for the power set two elements will always be an empty set and a set itself, so how does the formula works?

[virtuality]

I have a question
In terms of phi/empty set we should count as a element or not??

[abdulsalamlawal]

Thanks for the valued shared but u have a question.
Is this illustration true or false?

Is 1 an element of {2, (1)}