System of Inequality Review

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•
Mathematics
•
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
How do you determine if a point is part of the solution set for a system of inequalities?
Back
To determine if a point is part of the solution set, substitute the point's coordinates into each inequality. If the point satisfies all inequalities, it is part of the solution set.
3.
FLASHCARD QUESTION
Front
What does a solid line represent in graphing inequalities?
Back
A solid line represents that the points on the line are included in the solution set, indicating that the inequality is 'greater than or equal to' (≥) or 'less than or equal to' (≤).
4.
FLASHCARD QUESTION
Front
What does a dashed line represent in graphing inequalities?
Back
A dashed line indicates that the points on the line are not included in the solution set, representing inequalities that are 'greater than' (>) or 'less than' (<).
5.
FLASHCARD QUESTION
Front
How do you graph the inequality y < 2x + 3?
Back
1. Graph the line y = 2x + 3 with a dashed line. 2. Shade below the line to represent all points where y is less than 2x + 3.
6.
FLASHCARD QUESTION
Front
What is the solution to the inequality a - 6 ≤ 15 + 8a?
Back
a ≥ -3.
7.
FLASHCARD QUESTION
Front
What is the first step in solving a system of inequalities?
Back
The first step is to isolate one variable in one of the inequalities, if possible.
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