If A = {0,2,3,5,8} , B = {0,3,6,9,10,12} and C = {2,4,6,8,} find
`C cup A`

Answer

To find the union of sets C and A, we will follow these steps:

### Step 1: Identify the elements of sets A and C
- Set A = {0, 2, 3, 5, 8}
- Set C = {2, 4, 6, 8}

### Step 2: List all the elements from both sets
- From Set A, the elements are: 0, 2, 3, 5, 8
- From Set C, the elements are: 2, 4, 6, 8

### Step 3: Combine the elements from both sets
- We will combine the elements from both sets, making sure to include each unique element only once.

### Step 4: Identify the common elements
- The common elements between sets A and C are: 2 and 8.

### Step 5: Write the union of sets C and A
- Now we will write down all unique elements from both sets:
- From Set A: 0, 2, 3, 5, 8
- From Set C: 2 (already counted), 4, 6, 8 (already counted)

### Step 6: Finalize the union set
- The union of sets C and A, denoted as C ∪ A, will be:
- C ∪ A = {0, 2, 3, 5, 8, 4, 6}

### Step 7: Sort the elements (optional)
- The final union set can be sorted for clarity:
- C ∪ A = {0, 2, 3, 4, 5, 6, 8}

### Final Answer:
C ∪ A = {0, 2, 3, 4, 5, 6, 8}

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