Describe all the sets and subsets the number −25 belongs to.(1 point)

Question

Describe all the sets and subsets the number  −25  belongs to.(1 point)

GPT-4o mini · Answer

The number $-25$ belongs to several sets and subsets in mathematics. Here are the main categories: 1. **Real Numbers ($\mathbb{R}$)**: $-25$ is a real number, so it belongs to the set of all real numbers. 2. **Rational Numbers ($\mathbb{Q}$)**: $-25$ is a rational number because it can be expressed as the fraction $-25/1$. 3. **Integers ($\mathbb{Z}$)**: $-25$ is an integer, which means it belongs to the set of all integers, which includes positive and negative whole numbers, as well as zero. 4. **Negative Integers**: $-25$ is specifically a negative integer, so it belongs to the subset of negative integers. 5. **Whole Numbers**: $-25$ does not belong to the set of whole numbers since they include only non-negative integers (0, 1, 2, ...). 6. **Natural Numbers**: $-25$ does not belong to the set of natural numbers as they are the positive integers (1, 2, 3, ...). In summary, the number $-25$ belongs to the following sets and subsets: - Real Numbers $(\mathbb{R})$ - Rational Numbers $(\mathbb{Q})$ - Integers $(\mathbb{Z})$ - Negative Integers (subset of $\mathbb{Z}$)