The solution to a system of inequalities is the point on the graph where the two lines intersect.Question 19Select one:TrueFalse

Answer Analysis

1. Understanding the Statement: The statement claims that the solution to a system of inequalities is found at the intersection point of the two lines representing those inequalities.

2. Examine System of Inequalities: In a system of inequalities, each inequality divides the graph into two regions. The solution to the system is actually the area where the shaded regions (representing the solutions to the individual inequalities) overlap.

3. Intersection of Lines: While the intersection point of the two lines represents the solution to the corresponding equations (if considered as equalities), it does not represent the solution to the system of inequalities itself. The solution to a system of inequalities often consists of multiple points or a region, not just a single point where the lines intersect.

4. Conclusion: The statement is misleading since it does not consider the complete context of inequalities which includes identifying the overlapping regions rather than just the intersection point.

Final Answer

False. The solution to a system of inequalities is not merely the point where the two lines intersect, but rather the overlapping region where the solutions of both inequalities are satisfied.