https://file.aiquickdraw.com/mathbot/file/1727311756670n5wn08fz.jpg

The question asks which graph represents the inequality \( x \geq 0 \).

To solve this:
- The inequality \( x \geq 0 \) means "all values of \( x \) that are greater than or equal to zero."
- On the number line, this would start at \( 0 \) and include all values to the right (positive values). Since \( x \) can also be equal to zero, the circle at \( 0 \) should be *filled in* to indicate that zero is included.

Now, let's analyze the graphs:
- The first graph has a solid dot at \( 0 \) and an arrow pointing to the right, representing values greater than or equal to zero. This matches the inequality.
- The other graphs either have an open circle at \( 0 \) or arrows pointing in the wrong direction, which does not satisfy the inequality.

Thus, **the first graph** is the correct one.

Would you like more details or have any questions?

Here are 5 related questions to expand on this:
1. What is the difference between \( x \geq 0 \) and \( x > 0 \) on a number line?
2. How would you graph \( x \leq 3 \)?
3. Can you explain the meaning of an open vs. closed circle on a number line?
4. How do you graph a compound inequality like \( -3 \leq x < 5 \)?
5. What happens if the inequality is \( x \neq 0 \)? How would it be graphed?

**Tip**: When working with inequalities, always pay attention to whether the inequality is strict (using \( > \) or \( < \)) or includes equality (using \( \geq \) or \( \leq \)), as this changes how you represent the boundary points on a graph.

Which graph shows the inequality x ≥ 0?

This page explains how to graph the inequality x ≥ 0 on a number line. The solution focuses on representing greater than or equal to zero by filling in the point at zero and extending the line to positive infinity. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation