Let U= {1, 2, 3, 4, 5, 6, 7, 8,9}, A={1, 2, 3, 4}, B = {2, 4, 6, 8) and C={3, 4, 5, 6}. Find
A'

Answer

To find the complement of set A (denoted as A'), we need to follow these steps:

### Step 1: Identify the Universal Set (U)
The universal set is given as:
\[ U = \{1, 2, 3, 4, 5, 6, 7, 8, 9\} \]

### Step 2: Identify Set A
Set A is given as:
\[ A = \{1, 2, 3, 4\} \]

### Step 3: Determine the Elements in A'
The complement of set A (A') consists of all the elements in the universal set U that are not in set A.

To find A', we will subtract the elements of A from U:
- Start with U: \{1, 2, 3, 4, 5, 6, 7, 8, 9\}
- Remove the elements of A: \{1, 2, 3, 4\}

### Step 4: List the Remaining Elements
After removing the elements of A from U, we are left with:
- 5, 6, 7, 8, 9

Thus, the complement of A is:
\[ A' = \{5, 6, 7, 8, 9\} \]

### Final Answer
The complement of set A is:
\[ A' = \{5, 6, 7, 8, 9\} \]

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