Question

true or false and why please help

The intersection of two disjoint sets has no proper subsets.

Answer 1

if two sets are disjoint, then what does that mean

Answer 2

the intersection is empty?

Answer 3

yes because they have nothing in common

disjoint sets have nothing in common

Answer 4

so if A and B are disjoint sets, then the intersection of A and B is the empty set

Answer 5

are there any subsets of the empty set?

Answer 6

yes? no?

Answer 7

no

Answer 8

well there's the empty set itself (all sets are subsets of themselves)

but more importantly, there are no other subsets that are smaller than the empty set

So there are no proper subsets of the empty set

Answer 9

So...

The intersection of two disjoint sets has no proper subsets.

is true

Answer 10

ok great thanks!