State in each case whether A ⊂ B or A ⊄ B.

Question:

State in each case whether A ⊂ B or A ⊄ B.

A = {x : x is an even natural number less than 8}, B = {x : x is a natural number which divides 32}

 

Solution:

A ⊄ B

Explanation: we have, A = {2,4,6} and B = {1,2,4,8,16,32}.

Thus , A ⊄ B , since 6 ∉ B

 

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