Start Learning Sets 5 | Range, Image and Preimage

[@mj-pt2ty]

Thank you so much, I'm taking an introductory course for proofs and just reading these concepts sometimes isn't enough, the visuals helped!

[@brightsideofmaths]

Nice :) Thanks for the support :)

[@SimpMaker]

Range makes much more intuitive sense, in this instance. Thank you!

[@erenyeager1973]

I have algebra exam today and i really didn't understand these def but your video was really simple and easy to understand we don't find such great teachers anywhere so i am so lucky to find u ☺️

[@brightsideofmaths]

Thanks a lot and good luck today :)

[@erenyeager1973]

@@brightsideofmaths thank you very much♥

[@themanagement69]

This is a great explanation of a very simple but difficult to explain concept, well done!

[@brightsideofmaths]

Glad it helped! :) And thanks for the support!

[@jasnesciemnienie9107]

Great video. Finally some easy to understand explanation, you're awesome ;)

[@brightsideofmaths]

Glad you liked it! And thanks for the support :)

[@Hadwrf123]

Now it makes more sense

[@brightsideofmaths]

I am glad that I could help. And thanks for the support!

[@ryanmckenna2047]

If you compiled all your lecture slides into a set of books, I would buy them!

[@brightsideofmaths]

Already possible, see description :)

[@HugoDenhez-j2b]

@@brightsideofmaths Hey, thank you sooooo much for all the videos you're a legend 🙏 I'm planning to keep my subscription for a few years because the content is absolutely incredible ! Following up on Ryan's question, is there a way to download all of the slides in one book ? I'd be ready to pay up to 100 euros to get all of the slides printed out with useful comments like the one in this video "power-1 doesn't necessarily means bijective here" Thank you 🌟

[@brightsideofmaths]

@@HugoDenhez-j2b Download in already possible with the link in the description. I am also planning to make a printed book for the videos.

[@thehokkanen]

In 8:43 couldn't the image here also be {0, 3, 0} because in one of your videos you stated that for example the set {2, 3, 5} and {2, 2, 2, 3, 3, 5} are equal because they both have the same elements?

[@brightsideofmaths]

Yes, {0, 3, 0} = {0, 3} :)

[@psrajoria]

Thanks!

[@brightsideofmaths]

Thank you very much for your support :)

[@МаркіянМандзак]

I believe that on 09:06, preimage of {0} should also contain 0

[@brightsideofmaths]

Yes and no! Since I defined N without the zero element, we don't have zero in the preimage. However, the same map with N0 as the domain would include zero in the preimage.

[@МаркіянМандзак]

Good point! You are completely right. Thank you! =]

[@ichkaodko7020]

If i am not mistaken, image and range is not same thing right? range is points hit by f from set A whereas image is points hit by f from subset A dilta of set A right?

[@brightsideofmaths]

Exactly!

[@ichkaodko7020]

@@brightsideofmaths jesus. h christ. I got it right. Thank you for reply.

[@Lockout_31019]

@@brightsideofmaths Could range and image be the same if there was no subset? Or is image exclusively used as the term for possible outputs for a subset of a set

[@brightsideofmaths]

Yes, in this special case, they coincide.@@Lockout_31019

[@Lockout_31019]

@@brightsideofmaths Thanks