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 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 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 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 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 10 with an arrow at the end.

Answer 1

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

1. Subtract 123 from both sides: \[ x > 4 - 123 \] \[ x > -119 \]

This means the solution to the inequality is all values of \( x \) that are greater than \(-119\).

On a number line, this would be represented as:

• An open circle at \(-119\) (indicating that \(-119\) is not included in the solution).
• A line extending to the right towards positive infinity (or towards \(10\) in your provided range) indicating all values greater than \(-119\).

Based on this analysis, the correct graph must show an open circle at \(-119\) with a line heading right towards \(10\).

Among the responses provided, the one that has an open circle and extends to the right (towards positive values) is the correct choice.

However, the provided descriptions do not match the numerical conditions from the solved inequality, so if the responses refer to different numerical points, please choose the option that shows an open circle and a line going toward positive infinity or from the open circle to the right, even if the exact numerical position may inadvertently differ in the given options.

If you know the specific positioning of \(-119\) or related points, please ensure the response you choose reflects the correct orientation (rightward) for the inequality \( x > -119\).