which of the following describe the sum p plus (-q) where p and q are positive numbers.

Answer 1

The expression \( p + (-q) \) can be simplified to \( p - q \). Since \( p \) and \( q \) are both positive numbers, we can analyze the result:

1. If \( p > q \), then \( p - q \) will be positive.
2. If \( p = q \), then \( p - q = 0 \).
3. If \( p < q \), then \( p - q \) will be negative.

So the sum \( p + (-q) \) or \( p - q \) can be described as:

• It is positive when \( p \) is greater than \( q \).
• It is zero when \( p \) is equal to \( q \).
• It is negative when \( p \) is less than \( q \).

This means the value of \( p + (-q) \) depends on the relationship between \( p \) and \( q \).