Question

which of the following is a subset of {1, 3, 5, 7, 9}? ∅ {1, 2, 3} {5, 6, 7} integers between 1 and 9

Answer 1

In mathematics, a set A is a subset of a set B, or equivalently B is a superset of A, if A is "contained" inside B. I belive the correct answer from the choices listed above is the second option. It is the set {5, 6, 7} that is a subset of {1, 3, 5, 7, 9}. Hope this answers the question.

Answer 2

`\phi` is the subset of {1,3,5,7,9}

Explanation:

A subset is defined as the set in which every element in the set is also contained in the larger set or in a equal set.

First find all the subset of {1,3,5,7,9} :

{1,3,5,7}, {1,3,5,9}, {1,3,7,9}, {1,5,7,9}, {3,5,7,9}, {1,3,5}, {1,3,7}, {1,3,9}, {1,5,7}, {1,5,9}, {1,7,9}, {3,5,7}, {3,5,9}, {3,7,9}, {5,7,9} , {1,3}, {1,5}, {1,7}, {1,9}, {3,5}, {3,7}, {3,9}, {5,7}, {5,9}, {7,9} ,
`\phi`, {1}, {3}, {5}, {7},{9}

Therefore, from the given options we have only
`\phi` a subset of {1,3,5,7,9}