System of Linear Inequalities

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•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a system of linear inequalities?
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
What does it mean for a line to be solid in a graph of inequalities?
Back
A solid line indicates that the points on the line are included in the solution set, which occurs when the inequality is 'greater than or equal to' (≥) or 'less than or equal to' (≤).
3.
FLASHCARD QUESTION
Front
What is the difference between '>' and '≥' in inequalities?
Back
'>' means that the value is strictly greater than, while '≥' means that the value is greater than or equal to.
4.
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.
5.
FLASHCARD QUESTION
Front
What does the graph of y > 2x - 4 look like?
Back
The graph of y > 2x - 4 is a dashed line representing the boundary where y equals 2x - 4, with the area above the line shaded to indicate all points where y is greater than 2x - 4.
6.
FLASHCARD QUESTION
Front
What is the significance of the shaded region in a graph of inequalities?
Back
The shaded region represents all possible solutions to the inequality. Points within this region satisfy the inequality.
7.
FLASHCARD QUESTION
Front
What does the inequality y < 2 represent on a graph?
Back
The inequality y < 2 represents a horizontal line at y = 2, with the area below the line shaded, indicating all points where y is less than 2.
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