Question

okkkk last one hopefully
R, where (x,y)R(z,w) iff \( x+z \leq y+w \) on the set R x R

Answer 1

its not symmetric obviously

Answer 2

Its reflexive

Answer 3

and asual transitivity is throwing me off

Answer 4

how wld u show transitivity?

Answer 5

1 + 2 <= 1 + 3
1 + 3 <= 1 + 2 (false)

Answer 6

1 + 2 <= 1+ 3 <= 1 + 4
1 + 2 <= 1 + 4 (true)
1 + 2 <= 1 + 2 (true)

Answer 7

huhhh i didnt follow that

Answer 8

i mean i see how its symmetric

Answer 9

but not transitive

Answer 10

symmetric false
transitive true
reflexive true

Answer 11

ya but can u show how its transitive

Answer 12

cuz i didnt follow ur example