Two mark example problems I — task. Mathematics State Board, Class 9.

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From the Venn diagram, verify that \(n(A \cup B) = n(A) + n(B) - n(A \cap B)\).

Proof:

LHS: \(n(A \cup B) =\)

\(n(A) =\)

\(n(B) =\)

\(n(A \cap B) =\)

RHS: \(n(A) + n(B) - n(A \cap B) =\)

Since LHS \(=\) RHS, then \(n(A \cup B) = n(A) + n(B) - n(A \cap B)\).

Hence, we proved.

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2. Two mark example problems I