Suppose U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is the universal set, and P = {2, 4, 6, 8, 10}. What is upper P superscript single-quote baseline?
(1 point)
Responses
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
{3, 5, 7, 9}
{3, 5, 7, 9}
{1, 3, 5, 7, 9}
{1, 3, 5, 7, 9}
{2, 4, 8}
To find the set notation for upper P superscript single-quote baseline, we need to find the elements in the universal set U that are not in the set P.
The set P contains the elements {2, 4, 6, 8, 10}.
To find the elements not in P, we need to subtract P from the universal set U.
Universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Set P = {2, 4, 6, 8, 10}
Subtracting P from U, we get:
U \ P = {1, 3, 5, 7, 9}
Therefore, the set notation for upper P superscript single-quote baseline is {1, 3, 5, 7, 9}.
So, the correct response is: {1, 3, 5, 7, 9}.
To find the set P', which is the complement of set P, we need to list all the elements in the universal set U that are not in set P.
Given:
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
P = {2, 4, 6, 8, 10}
To find P', we need to subtract the elements in P from the elements in U.
So, P' = U - P
= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} - {2, 4, 6, 8, 10}
= {1, 3, 5, 7, 9}
Therefore, the set P' (read as P prime or P complement) is {1, 3, 5, 7, 9}.