Math Problem Statement

Graph the inequality x ≥ 7 on the number line.

Solution

To graph the inequality x7x \geq 7 on the number line:

  1. Identify the point x=7x = 7 on the number line.
  2. Since the inequality is x7x \geq 7, it includes 7. This means that you would place a closed dot (or filled-in circle) at 7 to indicate that 7 is included in the solution.
  3. Draw an arrow to the right from 7 to show that all numbers greater than 7 are included in the solution.

In summary:

  • Place a filled dot at 7.
  • Draw an arrow extending to the right from the dot to indicate that all values greater than or equal to 7 satisfy the inequality.

Would you like further details, or have any questions?

Here are some related questions you might find helpful:

  1. How do you represent a strict inequality (e.g., x>7x > 7) on a number line?
  2. What’s the difference between open and closed dots on a number line in inequalities?
  3. How would you graph x3x \leq -3 on a similar number line?
  4. Can inequalities be combined on a number line, and how?
  5. How do you interpret compound inequalities, such as 3x73 \leq x \leq 7, on a number line?

Tip: When graphing inequalities, always check if the inequality includes equality (≥ or ≤) to decide whether to use a closed or open dot.

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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