To explain : Do points on the boundary line of a graph of an inequality help determine the shaded area of the graph.
Given information:
The given statement is that points on the boundary line of a graph of an inequality help determine the shaded area of the graph.
Concept used:
A linear inequality is an inequality in two variables whose graph is a region of the coordinate plane bounded by a line. This is the boundary of the graph. The boundary separates the coordinate plane into two half planes, one of which consists of solutions of the inequality.
Explanation:
To determine which half plane on the graph to shade , pick a test point that is not on the boundary line and check whether that point satisfies the inequality. If it does shade the half plane that includes the test point if not shade the other plane.
So the points on the boundary line of a graph do not help to determine the shaded area of the graph.
Chapter 2 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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