Question
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 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 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.
Answers
GPT-4o mini
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 to the inequality is all values of \( x \) greater than -119.
On a number line, this would be represented with an open circle at -119 and a line extending to the right (towards positive infinity), indicating that all values greater than -119 are included in the solution.
Based on your descriptions, it looks like none of the provided graphs fit this description exactly because they don't reference -119 explicitly. The important part is the direction of the line and the placement of the open circle.
If any of the graphs had an open circle at `-119` with a line going towards the right, that would be the correct representation of the solution.
Please verify the graphs carefully with this solution in mind!
1. Subtract 123 from both sides:
\[
x > 4 - 123
\]
\[
x > -119
\]
This means that the solution to the inequality is all values of \( x \) greater than -119.
On a number line, this would be represented with an open circle at -119 and a line extending to the right (towards positive infinity), indicating that all values greater than -119 are included in the solution.
Based on your descriptions, it looks like none of the provided graphs fit this description exactly because they don't reference -119 explicitly. The important part is the direction of the line and the placement of the open circle.
If any of the graphs had an open circle at `-119` with a line going towards the right, that would be the correct representation of the solution.
Please verify the graphs carefully with this solution in mind!