A belongs to b, b subset c, a not a subset of c

[NecroWinter]

Homework Statement

a∈b, b⊆c, a not ⊆ c
(in other words, the last subset symbol should have a line from top to bottom)

Homework Equations

none

The Attempt at a Solution

ive tried a million things, I cant find anything that doesnt break one of the conditions

the most recent attempt is that
A, B and C are all empty sets, but that would imply that a can be an element of B. my logic is that a doesnt contain all the elements of c, because there are no elements of c

every other thing ive tried has c containing all the elements of B, but since B contains all the elements of A, i run into a logical problem.

I tried for a long time on this one, and I really need help

 

[clamtrox]

This might be an exercise in understanding what ∈ and ⊆ mean, but I'm not sure if you copied the problem correctly. Are you sure that's what it reads?

 

[HallsofIvy]

Consider b= {1, 2, 3}, c= {1, 2, 3, 4}, a= 1.