Remember that no less than is represented by ≥ and fewer than is represented by <.
Compound Inequality: -1.5≤ r<9.5 Graph:
Practice makes perfect
Let's write our compound inequality for the given statement by making a table. Remember that no less than is represented by ≥ and fewer than is represented by <.
To graph an and compound inequality, we will first consider the endpoints. In this case, the lesser endpoint is - 1.5 and the greater endpoint is 9.5. We also know that - 1.5 is included in the solution set, whereas 9.5 is not. Therefore, we will indicate these points with a closed and open circle, respectively.
The solution set lies in the area that is both no less than - 1.5 andat most 9.5. Therefore, we will shade the number line between the endpoints.
