Solve 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 dashed or solid line. Then, shade the region that satisfies the inequality (above the line for 'greater than' and below for 'less than').
Tags
CCSS.HSA.REI.D.12
3.
FLASHCARD QUESTION
Front
What does it mean if a line is dashed in a graph of an inequality?
Back
A dashed line indicates that the points on the line are not included in the solution set (for inequalities like < or >).
Tags
CCSS.HSA.REI.D.12
4.
FLASHCARD QUESTION
Front
What does it mean if a line is solid in a graph of an inequality?
Back
A solid line indicates that the points on the line are included in the solution set (for inequalities like ≤ or ≥).
Tags
CCSS.HSA.REI.D.12
5.
FLASHCARD QUESTION
Front
What is the solution to the system of inequalities y > -x - 1 and y ≥ x + 4?
Back
The solution is the region where the graphs of both inequalities overlap.
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
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.
7.
FLASHCARD QUESTION
Front
What is the significance of the feasible region in a system of inequalities?
Back
The feasible region is the area on the graph where all the inequalities overlap, representing all possible solutions to the system.
Tags
CCSS.HSA.REI.D.12
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