Integers: (-7, -6) or (6, 7)

Sun, 03 May 2026 04:17:47 +0000

# Understanding Integers: Exploring the Number Ranges (-7, -6) vs (6, 7) When diving into number theory and integers, it’s common to encounter two key number ranges: the negative interval (-7, -6) and the positive interval (6, 7). Though both represent sets of real numbers, they differ fundamentally in value and context—especially for learners, educators, and anyone working with mathematical reasoning. In this article, we’ll break down these ranges, explain their meanings, and explore their significance in math education and real-world applications. ## What Are Integers?
Integers include all whole numbers—positive, negative, and zero—without fractions or decimals. They form a critical part of algebra, number theory, and computer science. While the full set of integers is denoted by ℤ = {…, -3, -2, -1, 0, 1, 2, 3, …}, subsets like (-7, -6) or (6, 7) define specific intervals relevant for comparisons, plotting, and operations. ## The Negative Interval: (-7, -6)
The range (-7, -6) includes all real numbers strictly greater than -7 and strictly less than -6. This interval lies entirely on the negative side of the number line, between -7 and -6.