Problem Solving: Systems of Linear Inequalities

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•
Mathematics
•
9th 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
What does the symbol '≥' mean in inequalities?
Back
The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.
3.
FLASHCARD QUESTION
Front
What does the symbol '<' mean in inequalities?
Back
The symbol '<' means 'less than'. It indicates that the value on the left is smaller than the value on the right.
4.
FLASHCARD QUESTION
Front
How do you represent a situation with two variables using inequalities?
Back
You can represent a situation with two variables using inequalities by defining the variables and writing inequalities based on the conditions given.
5.
FLASHCARD QUESTION
Front
What is the graphical representation of a linear inequality?
Back
The graphical representation of a linear inequality is a shaded region on one side of a boundary line, which represents all the solutions to the inequality.
6.
FLASHCARD QUESTION
Front
What does the solution set of a system of linear inequalities represent?
Back
The solution set of a system of linear inequalities represents all the points that satisfy all the inequalities in the system.
7.
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 coordinates of the point into each inequality. If the point satisfies all inequalities, it is a solution.
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