Math Problem Statement

Write an inequality for the graph shown below. Use x for your variable.

Solution

The number line shows a filled circle at x=0x = 0 with a line extending to the right, covering all numbers greater than or equal to 0. This suggests that xx includes 0 and all positive numbers.

The inequality representing this graph is:

x0x \geq 0

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Related Questions

  1. How would the inequality change if the filled circle was an open circle?
  2. What would the inequality look like if the line extended to the left instead of the right?
  3. How can we graph x<3x < -3 on a number line?
  4. What is the difference between x>0x > 0 and x0x \geq 0 on a number line?
  5. How can inequalities be combined to represent ranges, such as 2x<5-2 \leq x < 5?

Tip: When a number line shows a filled circle, it means that the endpoint is included in the inequality (indicating \leq or \geq). An open circle means it’s not included (indicating << or >>).

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Math Problem Analysis

Mathematical Concepts

Inequalities
Number Line Representation

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8