Suppose U={1,2,3,4,5,6,7,8,9,10} is the universal set and P={2,4,6,8,10}. Then what is the complement of P?
The complement of set P, denoted as P', is the set of all elements in the universal set U that are not in set P.
In this case, set U contains the elements {1,2,3,4,5,6,7,8,9,10}, while set P contains the elements {2,4,6,8,10}.
Therefore, the complement of set P is the set of elements in set U that are not in set P.
P' = {1,3,5,7,9}
To find the complement of set P, we need to identify all the elements in the universal set U that are not in set P.
Given:
Universal set U = {1,2,3,4,5,6,7,8,9,10}
Set P = {2,4,6,8,10}
The complement of set P (denoted as P') is the set of all elements in U that are not in P.
To find the complement of P, we can subtract set P from the universal set U.
P' = U - P
Now, let's perform the subtraction:
U - P = {1,2,3,4,5,6,7,8,9,10} - {2,4,6,8,10}
To obtain the complement set, we remove all the elements that are common to both sets:
P' = {1,3,5,7,9}
Therefore, the complement of set P is {1,3,5,7,9}.
To find the complement of the set P, we need to identify all the elements that are in the universal set U but not in the set P.
The complement of a set can be found by subtracting the elements of the set from the universal set. In this case, we need to subtract the elements of set P from the universal set U.
The universal set U is {1,2,3,4,5,6,7,8,9,10}.
The set P is {2,4,6,8,10}.
To find the complement of P, we subtract the elements of P from U:
U - P = {1,3,5,7,9}
Therefore, the complement of P is {1,3,5,7,9}.