Solving 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.
2.
FLASHCARD QUESTION
Front
How do you graph a linear inequality?
Back
To graph a linear inequality, first graph the corresponding equation as if it were an equality. Then, use a dashed line for < or > and a solid line for ≤ or ≥. Shade the region that satisfies the inequality.
3.
FLASHCARD QUESTION
Front
What does the symbol '>' mean in an inequality?
Back
'>' means that the value on the left is greater than the value on the right.
4.
FLASHCARD QUESTION
Front
What does the symbol '≤' mean in an inequality?
Back
'≤' means that the value on the left is less than or equal to the value on the right.
5.
FLASHCARD QUESTION
Front
How do 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 significance of the shaded region in a graph of inequalities?
Back
The shaded region represents all the possible solutions that satisfy the inequality.
7.
FLASHCARD QUESTION
Front
What is the first step in solving a system of inequalities?
Back
The first step is to graph each inequality on the same coordinate plane.
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