Q. 8 - Precalculus Enhanced with Graphing Utilities

Question

The graph of the corresponding equation of a linear inequality is a line that separates the xy-plane into two regions. The two regions are called ___ .

Step-by-Step Solution

Answer

On completing the statement, we get,

"The graph of the corresponding equation of a linear inequality is a line that separates the xy-plane into two regions. The two regions are called half-planes."

Step 1. Given information.

Consider the given statement,

"The graph of the corresponding equation of a linear inequality is a line that separates the xy-plane into two regions. The two regions are called ___ ."

On completing the statement,

"The graph of the corresponding equation of a linear inequality is a line that separates the xy-plane into two regions. The two regions are called half-planes."

Step 2. An example.

Consider an inequation,

$x+y<2$

Plot the inequation,