Graphing Inequalities Math Example 4

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

Example 4

medium
Is the point (1,3)(1, 3) in the solution region of y<x+4y < x + 4?

Solution

  1. 1
    Test: 3<1+4=53 < 1 + 4 = 5. Since 3<53 < 5, yes ✓
  2. 2
    The point is in the solution region.

Answer

Yes, (1,3)(1, 3) satisfies y<x+4y < x + 4.
To check if a point satisfies an inequality, substitute its coordinates and verify the inequality holds.

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 3 easy

Graph [formula] on a number line.

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