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 h16h \geq 16 (their age is greater than or equal to 16).

The inequality h16h \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