Question

Which of the following are the subset of ,B={1,2,3,4,5,6,7,8,9,10}.

1:D={0,2,4,6,8,10,12}
2:A={5,6,7}
2:C={2}
2:T={1,2,3,4,5,...,8}​

Answer 1

A, C, T

Explanation:

A subset simply means a set of which all of its elements are contained in a larger set :

To obtain the subsets of B={1,2,3,4,5,6,7,8,9,10}.

We observe the smaller sets whose entire elements can be found in B

D={0,2,4,6,8,10,12} = not a subset of B ; B does not contain 0

A={5,6,7} = subset of B, all elements Cann be found in B

C={2} = subsets of B, 2 can be found in B

T={1,2,3,4,5,...,8}​ = subset of B; all elements can be found in B