Question

If A is the set of factors of 15, B is the set of prime numbers less than 10

C is the set of even numbers less than 9,


Then what is A ∪ C?





{1,2,3}


{1,3,5}


{ }


{1,2,3,4,5,6,8,15}

Answer 1

`A \cup C = \{1, 2, 3, 4, 5, 6, 8, 15\}`

Explanation:

`A = \{1, 3, 5, 15\}\\B = \{2, 3, 5, 7\}\\C = \{2, 4, 6, 8\}`

You want to find
`A \cup C`, which is the union of the two sets.

The union is defined as the set of all elements (with no repeats) from both sets.

Therefore,
`A \cup C = \{1, 2, 3, 4, 5, 6, 8, 15\}`