Math Problem Statement

Graph each inequality on a separate number line

Graph each inequality on a separate number line: x ≥ -2

Solution

The inequality shown in the image is x2x \geq -2.

Steps to graph this on a number line:

  1. Locate -2 on the number line.
  2. Since the inequality is \geq, you will have a closed circle at -2, indicating that -2 is included in the solution.
  3. Shade the number line to the right of -2, representing all numbers greater than or equal to -2.

Would you like more details or further explanation on graphing inequalities?

Here are 5 questions to expand on this topic:

  1. How would the graph change if the inequality were x>2x > -2?
  2. Can you graph the inequality x3x \leq 3 on the same number line?
  3. What happens when you combine two inequalities, such as 3x4-3 \leq x \leq 4?
  4. How does the inequality change when you multiply or divide by a negative number?
  5. Can you solve and graph a compound inequality, like 2x+3>52x + 3 > 5?

Tip: When dealing with \geq or \leq, always remember to use a closed circle on the number line to indicate inclusion of that boundary point.

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Math Problem Analysis

Mathematical Concepts

Inequalities
Number Lines
Graphing

Formulas

x ≥ -2

Theorems

Inequality Properties

Suitable Grade Level

Grades 6-8