Math Problem Statement

Graph x ≥ -2

Solution

To graph the inequality x2x \geq -2, follow these steps:

  1. Draw the boundary line: The boundary is the vertical line x=2x = -2. Since the inequality is greater than or equal to (\geq), the line is solid to indicate that points on the line are included in the solution.

  2. Shade the solution region: Since we need xx values that are greater than or equal to -2, shade everything to the right of the line.

Would you like a visual representation of the graph? Let me know if you have any questions!

Related Questions:

  1. How do you graph x>2x > -2 instead of x2x \geq -2?
  2. How do you represent yx2y \geq x - 2 on a coordinate plane?
  3. What is the difference between strict and non-strict inequalities in graphing?
  4. How do you determine which side to shade for any inequality?
  5. Can you solve and graph the system x2x \geq -2 and y3y \leq 3?

Tip:

For inequalities, solid lines include the boundary, while dashed lines do not!

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Math Problem Analysis

Mathematical Concepts

Inequalities
Graphing Linear Inequalities

Formulas

x ≥ -2

Theorems

Graphing Inequalities on a Coordinate Plane

Suitable Grade Level

Grades 7-9