Problem 89 - College Algebra Essentials

Question

What is a half-plane?

Step-by-Step Solution

Answer

A half-plane is one of the two regions into which a plane (a flat, two-dimensional surface that extends infinitely far) is divided by a line, including the line itself.

Step 1: Understanding Planes

A plane is a flat, two-dimensional surface that extends infinitely far. A plane is determined by three points not in a straight line.

Step 2: Defining Half-Plane

A half-plane is one of the two regions into which a plane is divided by a line, called line of separation. It includes the line as well.

Step 3: Example of Half-Plane

Think of a piece of paper (which is a plane). Draw a straight line down the middle. Each of the sections on either side of the line (including the line) is a half-plane.