Solve |P| > 3{-3, 3}{P|P < -3 or P > 3}{P|-3 < P < 3}

To solve the inequality |P| > 3, we need to consider two cases: when P is positive and when P is negative.

Case 1: P is positive If P is positive, then |P| is equal to P. So the inequality becomes P > 3. Solving this inequality, we find that P must be greater than 3.

Case 2: P is negative If P is negative, then |P| is equal to -P. So the inequality becomes -P > 3. To solve this inequality, we need to multiply both sides by -1, which reverses the inequality sign. So we have P < -3.

Combining the two cases, we have two separate solution sets:

1. P > 3
2. P < -3

However, we also need to consider the additional condition -3 < P < 3. This means that P must be between -3 and 3, but not including -3 and 3.

Therefore, the final solution to the inequality |P| > 3, with the additional condition -3 < P < 3, is P < -3 or P > 3, where P is not equal to -3 or 3.