Systems of Inequalities
Flashcard
•
Mathematics
•
9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of inequalities?
Back
A system of inequalities is a set of two or more inequalities with the same variables. The solution is the set of all points that satisfy all inequalities in the system.
Tags
CCSS.HSA.REI.D.12
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 boundary line. Then, shade the region that satisfies the inequality (above or below the line) and use a dashed line for < or >, and a solid line for ≤ or ≥.
Tags
CCSS.HSA.REI.D.12
3.
FLASHCARD QUESTION
Front
What does the solution of a system of inequalities represent?
Back
The solution of a system of inequalities represents all the points that satisfy all inequalities in the system, often visualized as a shaded region on a graph.
Tags
CCSS.HSA.REI.D.12
4.
FLASHCARD QUESTION
Front
What is the difference between 'no solution' and 'infinite solutions' in a system of inequalities?
Back
'No solution' means there are no points that satisfy all inequalities, while 'infinite solutions' means there are countless points that satisfy all inequalities.
5.
FLASHCARD QUESTION
Front
What does the inequality y < 2x + 1 represent graphically?
Back
It represents all points below the line y = 2x + 1, not including the line itself.
Tags
CCSS.HSA.REI.D.12
6.
FLASHCARD QUESTION
Front
How do you determine if a point is a solution to a system of inequalities?
Back
Substitute the point's coordinates into each inequality. If the point satisfies all inequalities, it is a solution.
7.
FLASHCARD QUESTION
Front
What is the significance of the boundary line in graphing inequalities?
Back
The boundary line indicates the limit of the solution set. Points on the line are included if the inequality is ≤ or ≥, and excluded if it is < or >.
Tags
CCSS.HSA.REI.D.12
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