PDF chapter test TRY NOW

If U = \{x: x \in N, x \leq 10\}, A = \{2, 3, 4, 8, 10\} and B = \{1, 2, 5, 8, 10\}, then verify that n(A \cup B) = n(A) + n(B) - n(A \cap B).
 
Answer:
 
n(A \cup B) =  ---- (1)
 
n(A) =
 
n(B) =
 
n(A \cap B) =
 
n(A) + n(B) - n(A \cap B) =  ---- (2)
 
From equations (1) and (2), we have n(A \cup B) = n(A) + n(B) - n(A \cap B).
 
Hence, we proved.