Systems of Inequalities

Flashcard
•
Mathematics
•
9th - 10th 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
What does the symbol '>' represent in a graph?
Back
The symbol '>' indicates that the boundary line is not included in the solution set, meaning points on the line are not solutions.
3.
FLASHCARD QUESTION
Front
What does the symbol '≥' indicate in a graph?
Back
The symbol '≥' indicates that the boundary line is included in the solution set, meaning points on the line are solutions.
4.
FLASHCARD QUESTION
Front
How do you determine which side of the boundary line to shade for the inequality y < 2x + 3?
Back
To determine which side to shade, pick a test point not on the line (like (0,0)). If the point satisfies the inequality, shade that side; otherwise, shade the opposite side.
5.
FLASHCARD QUESTION
Front
What is the difference between a solid line and a dashed line in graphing inequalities?
Back
A solid line indicates that points on the line are included in the solution (≥ or ≤), while a dashed line indicates that points on the line are not included (> or <).
6.
FLASHCARD QUESTION
Front
How do you graph the inequality y ≥ 3?
Back
Graph a horizontal line at y = 3, use a solid line, and shade above the line.
7.
FLASHCARD QUESTION
Front
What is the solution to the system of inequalities y < x + 2 and y > -x + 1?
Back
The solution is the region where the shaded areas of both inequalities overlap.
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