Question

If U= {2, 4, 6, 8, 10, 12, 14}, which is a subset of U? * A= {2, 4} A= {1, 3, 5, 7} A= {1} A= {2, 3, 4}

Answer 1

Explanation:

Given

`U= \{2, 4, 6, 8, 10, 12, 14\}`

Required

Which of the sets is a subset

A set (Set A) is a said to be a subset of another set (Set B) if the content of that set (i.e. A) can be found in the other set (set B)

Using the above definition, we have:

`U= \{2, 4, 6, 8, 10, 12, 14\}`

`A = \{2,4\}`

A is a subset of U because 2 and 4 are in U

`U= \{2, 4, 6, 8, 10, 12, 14\}`

`A = \{1,3,5,7\}`

A is not a subset of U because 1,3,5 and 7 are not in U

`U= \{2, 4, 6, 8, 10, 12, 14\}`

`A = \{2,3,4\}`

A is not a subset of U because 1,3,5 and 7 are in U

Hence, option A answers the question.