What is a system of linear inequalities?
System of Linear Inequalities

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Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A system of linear inequalities is a set of two or more linear inequalities that share the same variables. The solution is the set of all points that satisfy all inequalities in the system.
2.
FLASHCARD QUESTION
Front
How do you determine if a point is a solution to a system of inequalities?
Back
To determine if a point is a solution, substitute the point's coordinates into each inequality. If the point satisfies all inequalities, it is a solution.
3.
FLASHCARD QUESTION
Front
What does a solid line represent in the graph of an inequality?
Back
A solid line indicates that the points on the line are included in the solution set, meaning the inequality is 'greater than or equal to' (≥) or 'less than or equal to' (≤).
4.
FLASHCARD QUESTION
Front
What does a dashed line represent in the graph of an inequality?
Back
A dashed line indicates that the points on the line are not included in the solution set, meaning the inequality is 'greater than' (>) or 'less than' (<).
5.
FLASHCARD QUESTION
Front
What is the graphical representation of the inequality y < 2x + 3?
Back
The graph will show a dashed line for y = 2x + 3, and the area below the line represents the solution set.
6.
FLASHCARD QUESTION
Front
What is the solution set of the system of inequalities y > x + 1 and y < -x + 4?
Back
The solution set is the region where the area above the line y = x + 1 and below the line y = -x + 4 overlap.
7.
FLASHCARD QUESTION
Front
How can you graph a system of linear inequalities?
Back
1. Graph each inequality as if it were an equation. 2. Use solid or dashed lines as appropriate. 3. Shade the appropriate region for each inequality. 4. The solution is where the shaded regions overlap.
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