Graphing System of Linear Inequalities

Flashcard
•
Mathematics
•
9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear inequality?
Back
A linear inequality is a mathematical statement that relates a linear expression to a value using inequality symbols (>, <, ≥, ≤).
2.
FLASHCARD QUESTION
Front
How do you graph a linear inequality?
Back
To graph a linear inequality, first graph the corresponding linear equation as a dashed or solid line, then shade the region that satisfies the inequality.
3.
FLASHCARD QUESTION
Front
What does it mean for a point to be a solution to a system of inequalities?
Back
A point is a solution to a system of inequalities if it satisfies all inequalities in the system.
4.
FLASHCARD QUESTION
Front
What is the difference between a dashed line and a solid line in graphing inequalities?
Back
A dashed line indicates that points on the line are not included in the solution (for < or >), while a solid line indicates that points on the line are included (for ≤ or ≥).
5.
FLASHCARD QUESTION
Front
How can you determine if a point is a solution to a system of inequalities?
Back
Substitute the coordinates of the point into each inequality. If the point satisfies all inequalities, it is a solution.
6.
FLASHCARD QUESTION
Front
What is the solution set of a system of linear inequalities?
Back
The solution set is the region on the graph where all shaded areas from the inequalities overlap.
7.
FLASHCARD QUESTION
Front
What does the symbol '>' mean in an inequality?
Back
The symbol '>' means 'greater than' and indicates that the value on the left is larger than the value on the right.
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