Systems of Linear Inequalities (A1.1.3.2.1, A1.1.3.2.2) FL

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Mathematics
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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 region where the graphs of the inequalities overlap.
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 solid line (for ≤ or ≥) or a dashed line (for < or >). Then shade the region that satisfies the inequality.
3.
FLASHCARD QUESTION
Front
What does the symbol '<' indicate in a linear inequality?
Back
The symbol '<' indicates that the values of the variable are less than the value on the other side of the inequality.
4.
FLASHCARD QUESTION
Front
What does the symbol '>' indicate in a linear inequality?
Back
The symbol '>' indicates that the values of the variable are greater than the value on the other side of the inequality.
5.
FLASHCARD QUESTION
Front
What does the symbol '≤' indicate in a linear inequality?
Back
The symbol '≤' indicates that the values of the variable are less than or equal to the value on the other side of the inequality.
6.
FLASHCARD QUESTION
Front
What does the symbol '≥' indicate in a linear inequality?
Back
The symbol '≥' indicates that the values of the variable are greater than or equal to the value on the other side of the inequality.
7.
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 coordinates of the point into each inequality. If the point satisfies all inequalities, it is a solution.
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