Q14 of 58 Page 12

Determine whether each of the statement in

For all sets A, B and C, A – (B – C) = (A – B) – C

Given: There are three sets A, B and C


To check: A – (B – C) = (A – B) – C is true or not


Step 1:



B – C


Step 2:



A – (B – C)


Step 3:



A – B


Step 4:



(A – B) – C


Clearly, the Venn diagram in Step 2 and Step 4 are not equal


Hence, A – (B – C) (A – B) – C


Hence, the given statement is not true


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