![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
Statement: \ \
\A system of two linear inequalities has either no points or infinitely many points in its solution.
\A system of two linear inequalities has no points in its solution.
\Example: A system of two linear inequalities are ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=9a5b0b1593063b2a2cba520783d39c8c.png\")
and ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=4faad865f853bc3a2c43a013b459eb14.png\")
.
A system of two linear inequalities has infinitely many points in its solution.
\Example: A system of two linear inequalities are ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=9399d6c1214f74b046e1c61b843aa298.png\")
and ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=7e27d603f8fd6549f5a4b6b5b96528f0.png\")
.
![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
The statement is True.