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If U = {x\x is a positive integer less than 10} and P = {x\x...

Mathematics
JAMB 2005

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}.
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Correct Answer: Option A
Explanation

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}.

There is an explanation video available below.


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Explanation Video

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