If `P=(1,2,3,4,5,6,7)` and `Q=(2,5,8,9)`, then find P-Q.

Answer

To find \( P - Q \) (the difference of sets \( P \) and \( Q \)), we need to follow these steps:

### Step 1: Identify the elements of sets \( P \) and \( Q \)
- Set \( P = \{1, 2, 3, 4, 5, 6, 7\} \)
- Set \( Q = \{2, 5, 8, 9\} \)

### Step 2: Identify the common elements in sets \( P \) and \( Q \)
- The common elements between \( P \) and \( Q \) are \( 2 \) and \( 5 \).

### Step 3: Remove the common elements from set \( P \)
- To find \( P - Q \), we remove the elements that are in \( Q \) from \( P \).
- Thus, we will remove \( 2 \) and \( 5 \) from \( P \).

### Step 4: List the remaining elements in set \( P \)
- The remaining elements after removing \( 2 \) and \( 5 \) from \( P \) are:
- \( 1, 3, 4, 6, 7 \)

### Step 5: Write the final answer
- Therefore, \( P - Q = \{1, 3, 4, 6, 7\} \).

### Final Answer:
\[ P - Q = \{1, 3, 4, 6, 7\} \]

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