Which of the following shows the graph of the solution to x+123>4

Question

?(1 point)
Responses

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 5 and two thirds. A line is drawn from the circle toward 10 with an arrow at the end.
Image with alt text: 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 5 and two thirds. A line is drawn from the circle toward 10 with an arrow at the end.

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 two and one third. A line is drawn from the circle toward negative 10 with an arrow at the end.
Image with alt text: 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 two and one third. A line is drawn from the circle toward negative 10 with an arrow at the end.

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 5 and two thirds. A line is drawn from the circle toward negative 10 with an arrow at the end.
Image with alt text: 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 5 and two thirds. A line is drawn from the circle toward negative 10 with an arrow at the end.

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 two and one third. A line is drawn from the circle toward 10 with an arrow at the end.

Answer 1

To solve the inequality \( x + 123 > 4 \), we first isolate \( x \):

\[ x + 123 > 4 \ x > 4 - 123 \ x > -119 \]

The solution to the inequality \( x > -119 \) represents all values greater than \(-119\). On a number line, this would be indicated by an open circle at \(-119\) and a line extending to the right toward positive infinity.

None of the options provided specifically mention \(-119\), but the first option describes an open circle at \( 5\frac{2}{3} \) and extends towards \(10\), which is incorrect. The second option has an open circle at \(2\frac{1}{3}\) and extends towards \(-10\), which is also incorrect. The third option places an open circle at \(5\frac{2}{3}\) and extends towards \(-10\), which again is incorrect.

However, the last option places an open circle at \(2\frac{1}{3}\) and extends towards \(10\), which doesn't match \( -119 \) either.

Based on the standard rule for such inequalities, look for an option that matches the correct direction towards positive infinity greater than \(-119\). Since none of the descriptions explicitly state it, it appears that there might be a small error in the options provided, and the closest would be the one that correctly describes extending towards higher numbers over negatively marked \(x\), which aligns with \(x > -119\).

However, since you are being asked to choose based on the provided visuals, the concept should fundamentally reference extending to the right positively from where the open circle is located.