Graphing Inequalities Math Example 3

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

Example 3

easy
Graph x≤−1x \leq -1 on a number line.

Solution

  1. 1
    Closed circle at −1-1 (included, ≤\leq).
  2. 2
    Shade everything to the left.

Answer

Closed circle at −1-1, shaded left → (−∞,−1](-\infty, -1].
The closed circle indicates that −1-1 is part of the solution set.

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 1 easy

Graph [formula] on a number line.

Example 2 medium

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

Example 4 medium

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

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