Linear Inequalities Review

Flashcard
•
Mathematics
•
9th - 11th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear inequality?
Back
A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (>, <, ≥, ≤).
2.
FLASHCARD QUESTION
Front
How do you determine if a point is a solution to a linear inequality?
Back
To determine if a point is a solution, substitute the x and y values of the point into the inequality. If the inequality holds true, then the point is a solution.
3.
FLASHCARD QUESTION
Front
What does the graph of a linear inequality represent?
Back
The graph of a linear inequality represents all the solutions to the inequality, typically shown as a shaded region on one side of the boundary line.
4.
FLASHCARD QUESTION
Front
What is the difference between a solid line and a dashed line in the graph of linear 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 <).
5.
FLASHCARD QUESTION
Front
How do you graph a linear inequality in two variables?
Back
1. Graph the corresponding linear equation as a boundary line. 2. Use a solid or dashed line based on the inequality. 3. Shade the region that satisfies the inequality.
6.
FLASHCARD QUESTION
Front
What is the solution set of a system of linear inequalities?
Back
The solution set of a system of linear inequalities is the region where the shaded areas of all inequalities overlap, representing all points that satisfy all inequalities.
7.
FLASHCARD QUESTION
Front
What does it mean for a point to be a solution to a system of inequalities?
Back
A point is a solution to a system of inequalities if it satisfies all inequalities in the system simultaneously.
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