Question

QUESTION 5

The union of sets P = {7, 8, 9, 10, 11) Q = {1, 2, 3, 4, 5} is given by which of the following?
{1, 2, 3, 4, 5, 7, 8, 9, 10, 11}
{1,2,3,4,5)
{7, 8, 9, 10, 11}

Answer 1

`P\cup Q=\{1,\ 2,\ 3,\ 4,\ 5,\ 7,\ 8,\ 9, \ 10,\ 11\}`

Explanation:

The union of two sets P and Q, denoted as
`P\cup Q,` is the set of all elements that are in the set P or in the set Q or in both sets P and Q.

Given:

P = {7, 8, 9, 10, 11}

Q = {1, 2, 3, 4, 5}

Then

`P\cup Q=\{1,\ 2,\ 3,\ 4,\ 5,\ 7,\ 8,\ 9, \ 10,\ 11\}`

When writing the union set, simply write all elements from both sets in on set.