Question 10
SetsIf U = {x/x is a positive integer less than 10} and P = {x/ x is a prime factor of 30}, find the complement of P.
- A.{1, 2, 4, 7, 8, 9}
- B.{1, 2, 4, 6, 7, 8, 9}
- C.{1, 4, 6, 7, 8, 9}
- D.{1, 4, 7, 8, 9}
Show the answer and explanation
Answer: C ({1, 4, 6, 7, 8, 9})
Explanation
The prime factors of 30 are 2, 3 and 5. Removing them from {1, ..., 9} leaves {1, 4, 6, 7, 8, 9}.