Question
Graph x>−12
.(1 point)
Responses
A number line ranges from negative 15 to negative 5 in increments of 1. A closed point is plotted at negative 12. An arrow extends indefinitely right from the closed point past negative 5 along the number line.
Image with alt text: A number line ranges from negative 15 to negative 5 in increments of 1. A closed point is plotted at negative 12. An arrow extends indefinitely right from the closed point past negative 5 along the number line.
A number line ranges from negative 15 to negative 5 in increments of 1. An open point is plotted at negative 12. An arrow extends indefinitely right from the open point past negative 5 along the number line.
Image with alt text: A number line ranges from negative 15 to negative 5 in increments of 1. An open point is plotted at negative 12. An arrow extends indefinitely right from the open point past negative 5 along the number line.
A number line ranges from negative 15 to negative 5 in increments of 1. A closed point is plotted at negative 12. An arrow extends indefinitely left from the closed point past negative 15 along the number line.
Image with alt text: A number line ranges from negative 15 to negative 5 in increments of 1. A closed point is plotted at negative 12. An arrow extends indefinitely left from the closed point past negative 15 along the number line.
A number line ranges from negative 15 to negative 5 in increments of 1. An open point is plotted at negative 12. An arrow extends indefinitely left from the open point past negative 15 along the number line.
.(1 point)
Responses
A number line ranges from negative 15 to negative 5 in increments of 1. A closed point is plotted at negative 12. An arrow extends indefinitely right from the closed point past negative 5 along the number line.
Image with alt text: A number line ranges from negative 15 to negative 5 in increments of 1. A closed point is plotted at negative 12. An arrow extends indefinitely right from the closed point past negative 5 along the number line.
A number line ranges from negative 15 to negative 5 in increments of 1. An open point is plotted at negative 12. An arrow extends indefinitely right from the open point past negative 5 along the number line.
Image with alt text: A number line ranges from negative 15 to negative 5 in increments of 1. An open point is plotted at negative 12. An arrow extends indefinitely right from the open point past negative 5 along the number line.
A number line ranges from negative 15 to negative 5 in increments of 1. A closed point is plotted at negative 12. An arrow extends indefinitely left from the closed point past negative 15 along the number line.
Image with alt text: A number line ranges from negative 15 to negative 5 in increments of 1. A closed point is plotted at negative 12. An arrow extends indefinitely left from the closed point past negative 15 along the number line.
A number line ranges from negative 15 to negative 5 in increments of 1. An open point is plotted at negative 12. An arrow extends indefinitely left from the open point past negative 15 along the number line.
Answers
GPT-4o mini
To graph the inequality \( x > -12 \), you need to represent the values of \( x \) that are greater than -12. This means:
1. An **open point** should be plotted at -12, indicating that -12 is not included in the solution (since the inequality does not include equal to, i.e., "greater than" implies not including -12).
2. An **arrow** should extend indefinitely to the right from -12, indicating all the values greater than -12.
Based on your descriptions, the correct representation for the graph of \( x > -12 \) is:
- **An open point is plotted at -12. An arrow extends indefinitely right from the open point past -5 along the number line.**
So, the second response option you mentioned is the correct one.
1. An **open point** should be plotted at -12, indicating that -12 is not included in the solution (since the inequality does not include equal to, i.e., "greater than" implies not including -12).
2. An **arrow** should extend indefinitely to the right from -12, indicating all the values greater than -12.
Based on your descriptions, the correct representation for the graph of \( x > -12 \) is:
- **An open point is plotted at -12. An arrow extends indefinitely right from the open point past -5 along the number line.**
So, the second response option you mentioned is the correct one.