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Let U = {j, k, l, m, n, o, p) and A = {k, n, o, p). Use the roster method to write the set A'

User Apache
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Final answer:

The complement of set A, denoted as A', consists of elements from the universal set U that are not in A. Given that U = {j, k, l, m, n, o, p} and A = {k, n, o, p}, the complement set A' is {j, l, m}.

Step-by-step explanation:

The question asks for the complement of set A, which is denoted as A'. In set theory, the complement of a set A within a universal set U includes all the elements that are in U but not in A. Based on the given sets, where U = {j, k, l, m, n, o, p} and A = {k, n, o, p}, we can find A' by listing all the elements from U that are not included in A.

To write the complement set A' using the roster method, we list all elements of U and exclude those that are in set A:

  • Elements in U: j, k, l, m, n, o, p
  • Elements in A: k, n, o, p
  • Removing the elements of A from U, we are left with: j, l, m

Therefore, the complement of set A, or A', using the roster method is: A' = {j, l, m}.

User Ayush Mishra
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