Which of the following describes the sum p + (−q) where p

If \( p &gt; q \): Then \( p - q \) is positive.
If \( p = q \): Then \( p - q = 0\).
If \( p &lt; q \): Then \( p - q \) is negative.

Question

Which of the following describes the sum  p  +  (−q)  where  p
  and  q
  are positive numbers??

GPT-4o mini · Answer

The expression $ p + (-q) $ can be rewritten as $ p - q $. Here, since $ p $ and $ q $ are both positive numbers, the nature of the sum depends on the relationship between $ p $ and $ q $: 1. **If $ p > q $**: Then $ p - q $ is positive. 2. **If $ p = q $**: Then $ p - q = 0$. 3. **If $ p < q $**: Then $ p - q $ is negative. Therefore, $ p + (-q) = p - q $ can be positive, zero, or negative depending on the relative sizes of $ p $ and $ q $. In summary, $ p + (-q) $ describes a value that can be positive, zero, or negative based on the comparison between $ p $ and $ q $.