Understanding Inequality Notation on Number Lines | Math Visual Guide #3598205 (License: Personal Use)

This image displays four horizontal number lines, each illustrating a fundamental inequality relation involving a variable x and a constant a. The top two use a solid (filled) dot at point a to denote inclusion (x ≥ a and x ≤ a), while the bottom two use an open (hollow) circle to indicate exclusion (x > a and x < a). Red segments highlight the solution sets extending left or right from a, clearly distinguishing inclusive versus exclusive bounds.

Commonly used in middle school and high school algebra curricula, this visual aids learners in translating symbolic inequalities into graphical solutions. It supports user intent to understand or teach interval notation, solve linear inequalities, or prepare for standardized tests like SAT or ACT math sections.