Select a true statement to describe the graphed system of inequalities.

COURSE TOOLS

(1 point)

The system has one solution.

The system has no solutions.

The system has two solutions.

LESSON FEEDBACK

The system has infinite solutions.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
9 hours ago

To accurately determine which statement is true regarding the graphed system of inequalities, we would need to see the graph itself. However, based on general concepts:

  1. One solution: This is not typical for a system of inequalities, which usually defines a region rather than a single point.

  2. No solutions: This could occur if the shaded regions of the inequalities do not intersect at all, making it impossible to satisfy all inequalities simultaneously.

  3. Two solutions: This is also unlikely for a system of inequalities; typically, you get a region rather than a finite set of solutions.

  4. Infinite solutions: This is often the case when the inequalities create overlapping shaded regions, leading to a continuous area of solutions.

Without the graph, I cannot definitively say which statement is true. However, if the system is consistent (meaning at least some inequalities overlap), it is most often the case that the system has infinite solutions. If you can provide more context or describe the graph, I can help you determine the correct statement!