Question

which number line shows the inequality n > -3? (with four number line options as shown in the image)

Explanation:

Step1: Analyze the inequality \( n > -3 \)

The inequality \( n > -3 \) means that \( n \) can take any value greater than -3. On a number line, this is represented by an open circle at -3 (since -3 is not included in the solution set) and an arrow pointing to the right (towards positive infinity, indicating all numbers greater than -3).

Step2: Evaluate each number line

• First number line: Open circle at 3, arrow left. This represents \( n < 3 \), not \( n > -3 \).
• Second number line: Open circle at -3, arrow right. This matches \( n > -3 \) (open circle at -3, arrow towards greater numbers).
• Third number line: Open circle at -3, arrow left. This represents \( n < -3 \), not \( n > -3 \).
• Fourth number line: Open circle at 3, arrow right. This represents \( n > 3 \), not \( n > -3 \).

Answer:

The second number line (with open circle at -3 and arrow pointing to the right) shows the inequality \( n > -3 \). If we consider the options as per the visual (assuming the second option in the list is the one with open circle at -3 and right arrow), the answer is the second number line (e.g., if the options are labeled as 1st, 2nd, 3rd, 4th, then the 2nd option).