Question

Example 1.19
If A = {b,e,f,g,} and B = {c,eg,h}, then verify the commutative
property of (i) union of sets (ii) intersection of sets.
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Answer 1

Step-by-step explanation:

A={b,e , f , g}

B={c, e, g, h }

i)Commutative property for union of sets

AUB={b, e, f, g} U {c, e, g, h}

={b,c, e, f, g, h}

BUA={c, e, g, h } U{b, e, f, g}

={b, c, e, f, g, h}

Therefore, AUB=BUA (proved)

ii) Commutative property for intersection of sets

A∩B={b, e, f, g}∩{c, e, g, h }

={e , g}

B∩A={c, e, g, h } ∩ {b, e, f, g}

={e , g}

Therefore A∩B=B∩A (proved)