Which of the following shows the graph of the solution to x+123>4 ?(1 point)

Responses

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.

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.

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.

2 answers

To solve the inequality \(x + 123 > 4\), we first isolate \(x\) by subtracting 123 from both sides:

\[ x > 4 - 123 \]

\[ x > -119 \]

This means that the solution set includes all numbers greater than \(-119\).

Now, to graph this solution on a number line:

  • We place an open circle at \(-119\) to show that \(-119\) is not included in the solution.
  • We draw a line extending to the right from \(-119\) to indicate that all numbers greater than \(-119\) are part of the solution.

Looking at your options, none include the point \(-119\). If I were to confirm the solution, I would describe the graph based on that inequality. If your list contains a point \(-119\) or the right direction towards positive values, that would be the correct choice.

Please let me know if you do have a point marked near \(-119\) or if you need further assistance!

So is it a,b,c,or d
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