Let A = { b,d,e,f }, B = { c,d,g,h} and C = {e,f,g,h} .Find :
` (B-C) uu (C- B) `

Answer

To solve the problem, we need to find \( (B - C) \cup (C - B) \).

### Step 1: Identify the sets
We have:
- \( B = \{ c, d, g, h \} \)
- \( C = \{ e, f, g, h \} \)

### Step 2: Find \( B - C \)
To find \( B - C \), we need to remove the elements of set \( C \) from set \( B \).

- Elements of \( B \): \( c, d, g, h \)
- Elements of \( C \): \( e, f, g, h \)

Now, we remove the common elements \( g \) and \( h \) from \( B \):
- Remaining elements in \( B - C \): \( c, d \)

So,
\[ B - C = \{ c, d \} \]

### Step 3: Find \( C - B \)
Next, we find \( C - B \) by removing the elements of set \( B \) from set \( C \).

- Elements of \( C \): \( e, f, g, h \)
- Elements of \( B \): \( c, d, g, h \)

Now, we remove the common elements \( g \) and \( h \) from \( C \):
- Remaining elements in \( C - B \): \( e, f \)

So,
\[ C - B = \{ e, f \} \]

### Step 4: Find the union \( (B - C) \cup (C - B) \)
Now, we need to take the union of the two sets we found:
- \( B - C = \{ c, d \} \)
- \( C - B = \{ e, f \} \)

The union of these two sets is:
\[ (B - C) \cup (C - B) = \{ c, d \} \cup \{ e, f \} = \{ c, d, e, f \} \]

### Final Answer
Thus, the final answer is:
\[ (B - C) \cup (C - B) = \{ c, d, e, f \} \]

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