Question

5. Given A = {a,x, y,r s, }, B = {1,3,5,7, - 10}, verify the commutative property of set
union

Answer 1

Hi ,

It is given that ,

A = { a , x , y , r , s } ,

B = { 1 , 3 , 5 , 7 , -10 }

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We know that ,

AUB = { x/x € A or x € B }

Commutative property :

A U B = B U A

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LHS = A U B

= { a , x , y , r , s } U { 1 , 3 , 5 , 7 , - 10 }

= { a , x , y , r , s , 1 , 3 , 5 , 7 , - 10 }

RHS = B U A

= { 1 , 3 , 5 , 7 , - 10 } U { a , x , y , r , s }

= { a , x , y , r , s , 1 , 3 , 5 , 7 , - 10 }

LHS = RHS

Therefore ,

A U B = B U A

I hope this helps you.

: )