Question

if the universal set is given by sa {1,2,3,4,5,6?
and A={1,2,3,3 B={2,4,5} = { 1,5,6?
are three sets Rind the follwing sets rind the following set
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Answer 1

Answer:

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Step-by-step explanation:

(i) It can be seen that A⊂{0,1,2,3,4,5,6}

B⊂{0,1,2,3,4,5,6}

However, C



⊂{0,1,2,3,4,5,6}

Therefore, the set {0,1,2,3,4,5,6} cannot be the universal set for the sets A, B and C.

(ii) A



⊂ϕ,B



⊂ϕ,C



⊂ϕ

Therefore, ϕ cannot be the universal set for the sets A, B, and C.

(iii) A⊂{0,1,2,3,4,5,6,7,8,9,10}

B⊂{0,1,2,3,4,5,6,7,8,9,10}

C⊂{0,1,2,3,4,5,6,7,8,9,10}

Therefore, the set {0,1,2,3,4,5,6,7,8,9,10} is the universal set for the sets A, B and C.

(iv) A⊂{1,2,3,4,5,6,7,8}

B⊂{1,2,3,4,5,6,7,8}

However, C



⊂{1,2,3,4,5,6,7,8}

Therefore, the set {1,2,3,4,5,6,7,8} cannot be the universal set for the sets A, B, and C.