Question

A={1,2,3}, B={2,3,4}, C={2,3,5}, D={1,3,5,7}. Find (A∪B) ∩ (C∪D) is set
A

B

C

D

Answer 1

Answer:

= {1,2,3}

Step-by-step explanation:

(A∪B) ∩ (C∪D)

=[{1,2,3}U{2,3,4}]∩ [{2,3,5}U{1,3,5,7}]

={1,2,3,4}∩{1,2,3,5,7}

={1,2,3}Answer

Answer 2

The (AUB)∩(CUD)= {1,2,3}

AUB= {1,2,3,4}

AUB= {x: x∈A or x∈B}

CUD= { 1,2,3,5,7}

CUD= {x: x∈C or x∈D}

Intersection {x : x∈A and x∈B}

Elements 1, 2 and 3 are present in both AUB and CUD.

Hence (AUB)∩(CUD)= {1,2,3}

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