Determine whether each of the statement in Exercise for all sets A, B and C, A – (B – C) = (A – B) – C, is true or false. Justify your answer.

Solution:

The statement is false

As per the question,

Three sets are A, B and C

We need to check: is true or false.

Step 1:

Step 2:

Step 3:

 

Step 4:

So now, from the Venn diagrams, we have,

Step 2 and Step 4 are not equal

Hence,

As a result, the provided statement “for all sets A, B and C, ” is false.