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

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If \(A = \{b, e, f, g\}\) and \(B = \{c, e, g, h\}\), then verify the commutative property of (i) union of sets (ii) intersection of sets.

Answer:

(i) Union of sets:

\(A\) \(B =\)

\{i, i, i, i, i, i\}

---- (\(1\))

\(B\) \(A =\)

\{i, i, i, i, i, i\}

---- (\(2\))

From (\(1\)) and (\(2\)), we have:

Hence, the commutative property of union of sets is verified.

(Note: Enter the letters in alphabetical order.)

(ii) Intersection of sets:

\(A\) \(B =\)

\{i, i\}

---- (\(3\))

\(B\) \(A =\)

\{i, i\}

---- (\(4\))

From (\(3\)) and (\(4\)), we have:

Hence, the commutative property of intersection of sets is verified.

(Note: Enter the letters in alphabetical order.)

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1. Two mark example problems I