Number lines are useful tools for representing numbers. Solutions to an equation can be represented using points on the number line. For example, the solution to the equation 10x = 90, which is x = 9, can be represented on a number line by plotting a point at 9 on the number line.
As you have seen in previous lessons, inequalities have a range of solutions. Number lines can also be used to represent a range of solutions, like what you may see in an inequality.
Anu has a bus pass for $25. Each bus ride costs her $2.50. What are some possible values for the number of bus rides, n, that Anu can take in one month?
The number line can be used to represent the whole numbers between 0 and 10, which are possible solutions for the inequality, 2.50n ≤ 25, representing the relationship between the cost per bus ride, the number of bus rides, and the amount of money used on the bus pass.
In this lesson, you will learn more about how to solve inequalities with one variable, and you will use number lines and symbolic representations to express the solution.