Question

1.) For A={1,3,5,7,9), B= {2,4,6,8,10)
and C= {1,2,3,4,5,6,7,8,9,10). Find:
i. (A union B) union C
ii. (A union B) intersection C​

Answer 1

Answer:

i. (A u B) u C= 1,2,3,4,5,6,7,8,9,10

ii. (A union B) intersection C= 1,2,3,4,5,6,7,8,9,10

so hope this helps, and if it does, please mark it as brainlist.

actually I wasn't active from a month so I'm running low with brainlist answers

so I hope you will help me

Answer 2

Given data: A={1,3,5,7,9}, B={2,4,6,8,10}, C={1,2,3,4,5,6,7,8,9,10}

To Find: (i) (A union B) union C

             (ii) (A union B) intersection c

Solution:

The set of all elements present in the two sets are called union of set and it is denoted as U.

The elements that is present in both the sets are called intersection of set and it is denoted as ∩.

(i) (A union B) union C

Substitute, A={1,3,5,7,9}, B={2,4,6,8,10}, C={1,2,3,4,5,6,7,8,9,10}

(AUB) = {1,3,5,7,9} U {2,4,6,8,10}

(AUB) = {1,2,3,4,5,6,7,8,9,10}

(AUB)UC = {1,2,3,4,5,6,7,8,9,10} U {1,2,3,4,5,6,7,8,9,10}

(AUB)UC = {1,2,3,4,5,6,7,8,9,10}

Therefore, (A union B) union C = {1,2,3,4,5,6,7,8,9,10}

(ii) (A union B) intersection C

Substitute, A={1,3,5,7,9}, B={2,4,6,8,10}, C={1,2,3,4,5,6,7,8,9,10}

(AUB) = {1,3,5,7,9} U {2,4,6,8,10}

(AUB) = {1,2,3,4,5,6,7,8,9,10}

(AUB)∩C = {1,2,3,4,5,6,7,8,9,10} ∩ {1,2,3,4,5,6,7,8,9,10}

(AUB)∩C = {1,2,3,4,5,6,7,8,9,10}

Therefore, (A union B) intersection C = {1,2,3,4,5,6,7,8,9,10}