Week 15 Systems of Inequalities FLASHCARD

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Mathematics
•
6th - 8th 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 an inequality like y > 3?
Back
To graph y > 3, draw a horizontal dashed line at y = 3 (dashed because 3 is not included) and shade the area above the line.
3.
FLASHCARD QUESTION
Front
What does the symbol '≥' mean in inequalities?
Back
'≥' means 'greater than or equal to'. It indicates that the value can be greater than or equal to a certain number.
4.
FLASHCARD QUESTION
Front
What is the solution to the inequality y ≤ x + 3?
Back
The solution includes all points (x, y) where y is less than or equal to the line represented by y = x + 3.
5.
FLASHCARD QUESTION
Front
How can you determine if a point is a solution to a system of inequalities?
Back
Substitute the point's coordinates into each inequality. If the point satisfies all inequalities, it is a solution.
6.
FLASHCARD QUESTION
Front
What does it mean if a point lies on the boundary line of an inequality?
Back
If a point lies on the boundary line of an inequality, it is included in the solution if the inequality is '≥' or '≤', but not if it is '>' or '<'.
7.
FLASHCARD QUESTION
Front
What is the difference between '>' and '≥'?
Back
'>' means greater than (not including the boundary), while '≥' means greater than or equal to (including the boundary).
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