Questions: Let U=k, l, m, n, o, p, q and A=k, o, p, q. Find A̅. A̅= (Use ascending order. Use a comma to separate answers as needed.)

Transcript text: Let $U=\{k, l, m, n, o, p, q\}$ and $A=\{k, o, p, q\}$. Find $\bar{A}$. \[ \bar{A}= \] $\square$ (Use ascending order. Use a comma to separate answers as needed.)

Solution

Solution Steps

To find the complement of set $ A $ in the universal set $ U $, we need to identify the elements that are in $ U $ but not in $ A $.

Step 1: Identify the Universal Set $ U $ and Set $ A $

Given: \[ U = \{k, l, m, n, o, p, q\} \] \[ A = \{k, o, p, q\} \]

Step 2: Determine the Complement of Set $ A $

The complement of set $ A $, denoted as $ \bar{A} $, consists of elements in $ U $ that are not in $ A $.

Step 3: List the Elements in $ \bar{A} $

By comparing the elements in $ U $ and $ A $, we find: \[ \bar{A} = \{l, m, n\} \]

Step 4: Sort the Elements in Ascending Order

The elements in $ \bar{A} $ sorted in ascending order are: \[ \{l, m, n\} \]

Final Answer

$\boxed{\{l, m, n\}}$

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