
System of Inequalities PRACTICE ASSIGNMENT

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•
Mathematics
•
9th Grade
•
Hard
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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 system of inequalities?
Back
1. Graph each inequality as if it were an equation (using a solid line for ≤ or ≥ and a dashed line for < or >). 2. Shade the appropriate region for each inequality. 3. The solution is where the shaded regions overlap.
3.
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.
4.
FLASHCARD QUESTION
Front
How can 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.
5.
FLASHCARD QUESTION
Front
What is the significance of the boundary line in a system of inequalities?
Back
The boundary line represents the points where the inequality changes from true to false. Points on the line are included if the inequality is ≤ or ≥.
6.
FLASHCARD QUESTION
Front
What does the symbol '>' indicate in an inequality?
Back
The symbol '>' indicates that the value on the left is greater than the value on the right, and does not include the boundary.
7.
FLASHCARD QUESTION
Front
What does the symbol '<' indicate in an inequality?
Back
The symbol '<' indicates that the value on the left is less than the value on the right, and does not include the boundary.
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