Let A={0,2,3}, B={2,3}, C={1,5,9}, and let the universal set be U={0,1,2,...,9}.

Greyson Landry

Greyson Landry

Answered question

2022-07-17

Let A = { 0 , 2 , 3 } , B = { 2 , 3 } , C = { 1 , 5 , 9 }, and let the universal set be U = { 0 , 1 , 2 , . . . , 9 }. Determine:
a ) A B b ) A B c ) B A d ) A C e ) A B f ) B A g ) A c h ) C c i ) A C j ) A B

Answer & Explanation

Bradley Sherman

Bradley Sherman

Beginner2022-07-18Added 17 answers

Step 1
The Universal Set is the set that contains everything. So just imagine we are given a a universal set S; therefore all we know to exists is in the set S. That being said, any set A S we know that A C A = U (this should be clear, but if it is not try to prove it). Now that we have this rule it should be clear that if:
U = { 0 , 1 , 2 , . . . , 9 } , A = { 0 , 2 , 3 }
Step 2
Then A C = U , A = { 1 , 4 , 5 , 6 , 7 , 8 , 9 }
jlo2ni5x

jlo2ni5x

Beginner2022-07-19Added 8 answers

Step 1
A C = U A = Elements which are in set U but not in set A.
Step 2
Hence, A C = { 1 , 4 , 5 , 6 , 7 , 8 , 9 }

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