Graphing Inequalities Math Example 1

Follow the full solution, then compare it with the other examples linked below.

Example 1

easy
Graph x>2x > 2 on a number line.

Solution

  1. 1
    Place an open circle at x=2x = 2 (not included, strict inequality).
  2. 2
    Shade everything to the right of 2.
  3. 3
    The arrow extends to +∞+\infty.

Answer

Open circle at 2, shaded right → (2,∞)(2, \infty).
On a number line, open circles represent strict inequalities (<,><, >) and closed circles represent inclusive inequalities (≤,≥\leq, \geq). Shade in the direction of the solution.

About Graphing Inequalities

The process of representing the solution set of an inequality on a coordinate plane by drawing the boundary line (solid for ≤\leq/≥\geq, dashed for <</>>) and shading the half-plane that contains all points satisfying the inequality.

Learn more about Graphing Inequalities →

More Graphing Inequalities Examples

Example 2 medium

Graph the solution of [formula] on the coordinate plane.

Example 3 easy

Graph [formula] on a number line.

Example 4 medium

Is the point [formula] in the solution region of [formula]?

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