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 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.

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 5 and two thirds. 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 \( x \):

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

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

Now, looking at the given options:

1. A number line with an open circle above \(\frac{7}{3}\) (which is approximately 2.33), with a line extending to 10, would represent \( x > \frac{7}{3} \).
2. A number line with an open circle above \(\frac{7}{3}\), with a line extending to negative 10, would not represent any solution for our inequality.
3. A number line with an open circle above \(5\frac{2}{3}\) (which is approximately 5.67), extending toward negative 10, would also not represent our inequality.
4. A number line with an open circle above \(5\frac{2}{3}\), with the line extending to 10, does not represent our inequality either.

Since none of the options show an open circle above \(-119\) extending to the right towards positive infinity, it seems there might be an error in interpreting the exact position.

However, since none of the options directly references \(-119\), but considering the general direction we want—to the right of a certain point—the correct response is most likely the one that has a line extending to the right, away from a lesser point (even if the exact value is incorrect).

Double-check for clarity, but opt for whichever one presents a line extending toward positive numbers (like option "A" or "D" depending on any estimation) as that may represent a broader solution set as intended.