For each of 1-4 find a counterexample to show that the statement is false. Assume all sets are subsets of a universal set U.
For all sets A , B , and C, if A ∉ B and B ⊄ C then A ⊄ C .

For each find a counterexample to Show that the statement is falseO Assume ail sets are subsets of a universai set U.

For all sets A,B and C if A⊆B and B⊆C then A⊆C

Given information:

Let  A,B and C   be any set

Concept used:

∪:Union of sets∩:Intersection of sets

⊆: subset of set

Calculation:

Counterexample,

 A,B and C Are sets,  A⊆B and B⊆C ⇒ A⊆C.

To show that this statement is false, consider the following: