Use the image to answer the question.
A number line with arrows at both the ends ranges from negative 10 to 10 in unit increments. An open circle is marked on the tick line above 4. A line is drawn from 4 toward negative 10 with an arrow at the end.
What linear inequality is shown graphed on the number line? Make sure to write your inequality so that x comes first.
Note: You will find the option to add a >
, <
, ≥
, or ≤
symbol in the Comparison
To determine the linear inequality shown on the number line, we need to analyze the given information.
First, notice that there is an open circle marked above the number 4 on the tick line. This indicates that the number 4 is not included in the solution set of the inequality.
Second, there is a line drawn from 4 towards negative 10 with an arrow at the end. This implies that all values less than 4 are included in the solution set.
Combining these observations, we can write the linear inequality as:
x < 4
This inequality states that x is less than 4, and it matches the information shown on the number line with an open circle at 4 and an arrow extending towards negative 10.