Thread: Write in the simplest way possible using the laws of set algebra

Hi, got an exercise I can't seem too solve, just started with Discrete Mathematics.
I'm supposed to write this: (A - B) (intersection) (A U B) in the simplest possible way.

Really appreciate any help

Originally Posted by Remi

Hi, got an exercise I can't seem too solve, just started with Discrete Mathematics.
I'm supposed to write this: (A - B) (intersection) (A U B) in the simplest possible way.

, I used the 'setminus' notation and is the complement of

Thus .

You should see at once how to finish.

?

But I don't quite get what you did in the second part there:
Which law did you use ?

Originally Posted by Remi

?

But I don't quite get what you did in the second part there:
Which law did you use ?

that is distribution.
Let

Thanks, think I got it now Was my solution correct ?
And could it be done like this:


Given that

Originally Posted by Remi

Thanks, think I got it now Was my solution correct ?
And could it be done like this:


Given that

You missed one part.