Solution:

The statement is false

As per the question,

Three sets are A, B and C

We need to check: $A-(B-C)=(A-B)-C$ is true or false.

Step 1:

$B-C$

Step 2:

$A-(B-C)$

Step 3:

$A-B$

Step 4:

$(A-B)-C$

So now, from the Venn diagrams, we have,

Step 2 and Step 4 are not equal

Hence, $A-(B-C) \neq(A-B)-C$

As a result, the provided statement “for all sets A, B and C, $A-(B-C)=(A-B)-C$ ” is false.