Question

1 SPOOF IS A SET OF ALL PURRS.
2 SPOOF CONTAINS AT LEAST TWO DISTINCT PURRS.
3 EVERY LILT IS A SET OF PURRS AND CONTAINS AT LEAST TWO DISTINCT PURRS.
4. IF A AND B ARE ANY TWO DISTINCT PURRS, THERE IS ONE AND ONLY ONE LILT THAT CONTAINS THEM.
5. NO LILT CONTAINS ALL THE PURRS.

SHOW THAT THE FOLLOWING STATEMNTS ARE TRUE.

1- THERE IS AT LEAST ONE LILT.
2- THERE ARE AT LEAST THREE PURRS.
3- THERE ARE AT LEAST THREE LILTS

Answer 1

That allcaps is a bit hard on the eyes. If you want people to read your message, do tone it down and type normally, please.

From 2) spoof contains at least two purrs. Call the first two A and B. From 4) there exists exactly one lilt containing them, therefore 1. is proved.

Call the lilt cntaining A and B L1.

From 5), there must exist a purr that is outside L1.
Therefore there must exist a third purr, therefore 2. is proved.

We now have a third purr; call it C.

I will leave it for you to prove that, given purrs A, B, and C, there must exist at least three lilts.

Answer 2

Ummm... if A and B are already taken then that's 1 lilt. And C is in one lilt so there are two lilts??? can you explain how you got three please=).

Answer 3

Each lilt contains at least one distinct pair.



There must be exactly one lilt containing each possible pair. Which axiom number is that?

We know that L1 contains {A, B}.

Write out the pairs you can make from A, B, C.

Answer 4

oooo thanks man

Answer 5

the sum of the ________ of a plane figure is called the perimeter.

Answer 6

thanks yall