Unfortunately, as a text-based AI, I am unable to view images directly. However, based on your description, I can help you deduce what the linear inequality is.
From your description, a closed point is plotted between 4 and 5, slightly after 4 on the number line. Since it is a closed point, this indicates that the number at the point is included in the set of solutions, therefore a "greater than or equal to" (≥) inequality is used.
A rightward arrow originating from this closed point implies that all numbers greater than this point are included in the set of solutions.
Since the closed point is "just after 4" and before 5, the inequality would include 4 and be greater than 4.
Combining these pieces of information, the linear inequality graphed on the number line, with x first, could be written as:
x ≥ 4
It should be noted that if the actual point on the number line is exactly at 4, the inequality would simply be x ≥ 4. If the point is slightly greater than 4 but not reaching 5, we would typically either know the exact value or express it with a variable or additional information. However, for the sake of this explanation, we will assume the point represents the number 4 and use x ≥ 4 for the linear inequality.
Use the image to answer the question.
A number line is shown ranging from negative 10 to 10 with numbers listed in unit increments. A closed point is plotted on the number line between 4 and 5, just after 4. A rightward arrow is marked on the number line that originates at the closed point and goes beyond 10.
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
5 answers
nope
I apologize for the confusion. Since the closed point is just after 4, the exact value is not 4 and could be a small amount greater than 4. If we don't know the exact value, we typically represent this as a strict inequality with an unknown value, such as \( x > 4 \). But, because it's a closed point and the arrow extends rightward from this point, it is indeed including the point and all the numbers to the right of it on the number line.
Therefore, the correct linear inequality that represents a closed point just after 4 on a number line with a rightward arrow extending beyond 10 would be:
\[ x > 4 \]
I initially mentioned \( x ≥ 4 \) assuming the closed point was exactly at 4, but since it's just after 4 and we don't have the exact value, \( x > 4 \) would be a better representation in this case.
Therefore, the correct linear inequality that represents a closed point just after 4 on a number line with a rightward arrow extending beyond 10 would be:
\[ x > 4 \]
I initially mentioned \( x ≥ 4 \) assuming the closed point was exactly at 4, but since it's just after 4 and we don't have the exact value, \( x > 4 \) would be a better representation in this case.
Use the image to answer the question.
Four number lines are shown labeled from 1 to 4 vertically one below the other. The number lines range from negative 10 to 10 with numbers listed in unit increments. The first number line has a closed point marked on 5. A leftward arrow is marked on the number line that originates at the closed point and goes beyond negative 10. The second number line has an open point marked on 5. A leftward arrow is marked on the number line that originates at the open point and goes beyond negative 10. The third number line has a closed point plotted on the number line between 4 and 5, just after the 4. A leftward arrow is marked on the number line that originates at the closed point and goes beyond negative 10. The fourth number line has an open point plotted on the number line between 4 and 5, just after the 4. A leftward arrow is marked on the number line that originates at the open point and goes beyond negative 10.
Which graph shows the solution to 12x−4<56 ? Select 1, 2, 3, or 4 for your answer.
(1 point)
Graph #
Four number lines are shown labeled from 1 to 4 vertically one below the other. The number lines range from negative 10 to 10 with numbers listed in unit increments. The first number line has a closed point marked on 5. A leftward arrow is marked on the number line that originates at the closed point and goes beyond negative 10. The second number line has an open point marked on 5. A leftward arrow is marked on the number line that originates at the open point and goes beyond negative 10. The third number line has a closed point plotted on the number line between 4 and 5, just after the 4. A leftward arrow is marked on the number line that originates at the closed point and goes beyond negative 10. The fourth number line has an open point plotted on the number line between 4 and 5, just after the 4. A leftward arrow is marked on the number line that originates at the open point and goes beyond negative 10.
Which graph shows the solution to 12x−4<56 ? Select 1, 2, 3, or 4 for your answer.
(1 point)
Graph #
Solve 8x+4≥52 .(1 point)
Responses
x≥6
x greater than or equal to 6
x≥7
x greater than or equal to 7
x≥2.5
x greater than or equal to 2.5
x≥11
Responses
x≥6
x greater than or equal to 6
x≥7
x greater than or equal to 7
x≥2.5
x greater than or equal to 2.5
x≥11
0 answers