Which of the following shows the graph of the solution to x+123>4 tell me witch graph so like 1 2 3 4 5

?(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.

1 answer

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

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

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

On a number line, this would be represented by an open circle at \(-119\) and a line extending to the right towards positive infinity (or an arrow pointing to positive numbers).

Now, let's analyze the graph options provided:

  1. First graph: Open circle at approximately \(5 \frac{2}{3}\) (which is not related to \(-119\)), line extending leftward to \(-10\).
  2. Second graph: Open circle at approximately \(2 \frac{1}{3}\), line extending leftward to \(-10\).
  3. Third graph: Open circle at approximately \(5 \frac{2}{3}\), line extending rightward to \(10\) (does not work for the given inequality).
  4. Fourth graph: Open circle at approximately \(2 \frac{1}{3}\), line extending rightward to \(10\) (does not work for the given inequality).

None of the graphs corresponds to an open circle at \(-119\) with an arrow extending to the right. However, if choosing from your options, it would appear that none are the correct representation for the inequality \( x > -119 \).

If you had an option that showed an open circle at \(-119\) with an arrow extending to the right, that would be the correct representation. Since such an option is not present, none of the graphs are correct.