Remember that less than or equal to is represented by ≤ and greater than is represented by >.
Compound Inequality: n≤-7 or n>12 Graph:
Practice makes perfect
Let's write our compound inequality for the given statement by making a table. Remember that less than or equal to is represented by ≤ and greater than is represented by >.
To graph an or compound inequality, we will first consider the endpoints. In this case, the lesser endpoint is - 7 and the greater endpoint is 12. Notice that - 7 is included in the solution set, whereas 12 is not included. Therefore, we will indicate these points with a closed and open circle, respectively.
The solution set lies in the area that is both less than or equal to - 7 orgreater than 12. Therefore, we will shade the number line on opposite sides of the endpoints.
