Reintroducing Inequalities

Student Summary

Inequalities can be used to describe a range of numbers. For example, in many places, people are eligible to get a driver’s license when they are at least 16 years old. If hh is the age of a person, then we can check if they are eligible to get a driver’s license by checking if their age makes the inequality h>16h>16 (they are older than 16) or the equation h=16h=16 (they are 16) true. The symbol ≥\geq, pronounced “greater than or equal to,” combines these two cases and we can just check if h≥16h \geq 16 (their age is greater than or equal to 16).

The inequality h≥16h \geq 16 can be represented on a number line. The closed, or filled in, circle at 16 shows that 16 is a solution. The shading and arrow pointing right from 16 shows that all numbers greater than 16 are also solutions.

Number line, 0 to 28 by fours. An arrow begins at 16, closed circle, extends to the right.

Visual / Anchor Chart