If A={1,2,3,4,5}, B={1,2,3,6,7} and C{8}, then find (A-B)`xx C`.

Answer

To solve the problem step by step, we will follow these instructions:

### Step 1: Identify the sets
Given:
- Set A = {1, 2, 3, 4, 5}
- Set B = {1, 2, 3, 6, 7}
- Set C = {8}

### Step 2: Find A - B
To find A - B, we need to identify the elements in set A that are not present in set B.

- Elements in A: 1, 2, 3, 4, 5
- Elements in B: 1, 2, 3

Now, we remove the elements of B from A:
- The elements 1, 2, and 3 are in both A and B, so we exclude them.
- The remaining elements in A are 4 and 5.

Thus, A - B = {4, 5}.

### Step 3: Find (A - B) x C
Now we need to find the Cartesian product of the set (A - B) and set C.

- A - B = {4, 5}
- C = {8}

The Cartesian product (A - B) x C consists of all ordered pairs (a, c) where 'a' is an element from (A - B) and 'c' is an element from C.

We will pair each element of (A - B) with the element in C:
- Pair 4 with 8: (4, 8)
- Pair 5 with 8: (5, 8)

Thus, (A - B) x C = {(4, 8), (5, 8)}.

### Final Answer
The final result is:
(A - B) x C = {(4, 8), (5, 8)}.

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