If the set cap u is equal to all positive integers and set cap A is equal to x divides x is in the union of and x is an odd positive integer , which describes the complement of set cap A , cap A to the c th power ?
Answer
A
cap A to the c th power is equal to x divides x is in the union of and is A negative integer
B
cap A to the c th power is equal to x divides x is in the union of and is zero
C
cap A to the c th power is equal to x divides x is in the union of and is not an integer
D
cap A to the c th power is equal to x divides x is in the union of and is an even positive integer
Explanation
The universal set contains all positive integers, and set A contains the odd positive integers in that set. The complement of A consists of the elements of the universal set that are not in A, so it is the set of even positive integers. Therefore, choice C is correct.
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