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. A closed point is marked on negative 5. A rightward arrow extends along the number line from the closed point toward 10 and beyond.
The image shows solutions to the inequality x≥−5. Identify the meaning of the arrowhead at right.
A) It shows the answers extend on to infinity.
B) It shows that the values are not continuous.
C) It shows that the values are increasing from −5.
D) It shows that the values extend to 11.
C) It shows that the values are increasing from −5.
To answer the question and interpret the meaning of the arrowhead at the right end of the number line, we need to understand the given information.
In the image, the number line ranges from -10 to 10 and has a closed point marked on -5. Additionally, there is a rightward arrow extending from the closed point toward 10 and beyond.
The inequality x ≥ -5 represents all values of x that are greater than or equal to -5. We can understand this by imagining that the closed point on -5 covers the entire range of values from -5 to positive infinity.
Based on this interpretation, we can now determine the meaning of the arrowhead at the right end of the number line:
A) It shows the answers extend on to infinity.
Since the arrowhead extends beyond 10 on the number line, it indicates that the values of x continue beyond 10 towards positive infinity. Therefore, the correct answer is:
A) It shows the answers extend on to infinity.