Math Problem Statement

graph x is equal or greater than 3 on the number line

Solution

To graph x3x \geq 3 on a number line, follow these steps:

  1. Draw a horizontal line that represents the number line.
  2. Mark the point where x=3x = 3 on the number line.
  3. Draw a closed circle at x=3x = 3 to indicate that 3 is included in the solution (because the inequality is "greater than or equal to").
  4. Shade the line to the right of x=3x = 3, extending indefinitely. This shading represents all values of xx that are greater than or equal to 3.

The closed circle and the shaded area to the right indicate that the solution includes 3 and all numbers greater than 3.

Would you like to see the visual graph, get more details, or have any other questions?

Here are some related questions you might find helpful:

  1. How do you graph x>3x > 3 on a number line?
  2. What does an open circle on a number line represent?
  3. How would you graph x2x \leq -2 on a number line?
  4. How do you express x3x \geq 3 in interval notation?
  5. How do inequalities change when both sides are multiplied by a negative number?

Tip: Always use a closed circle for "greater than or equal to" (≥) or "less than or equal to" (≤) on a number line to indicate that the endpoint is included in the solution.

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Math Problem Analysis

Mathematical Concepts

Inequalities
Number Line Graphing

Formulas

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Theorems

Inequality Representation on Number Lines

Suitable Grade Level

Grades 6-8