If 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, 4, 6, 7, 8, 9}.
B
{1, 2, 4, 7, 8, 9}.
C
{1, 2, 4, 6, 7, 8, 9}.
D
{1, 4, 7, 8, 9}.
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
Let the universal set be
\(U = \{1, 2, 3, 4, 5, 6, 7, 8, 9\}\)
and the set of prime factors of 30 be
\(P = \{2, 3, 5\}.\)
The complement of \( P \) is
\(P' = U - P = \{1, 4, 6, 7, 8, 9\}\)
Thus, the complement of \( P \) is {1, 4, 6, 7, 8, 9}.
Source: Myschool Past Questions Archive (Record #72277)