LT.6: Students find solution to a system of inequalities

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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 determine if a point is a solution to a system of inequalities?
Back
To determine if a point is a solution, substitute the point's coordinates into each inequality. If the point satisfies all inequalities, it is a solution.
3.
FLASHCARD QUESTION
Front
What does the symbol '≤' represent in an inequality?
Back
The symbol '≤' means 'less than or equal to'. It indicates that the value on the left can be less than or equal to the value on the right.
4.
FLASHCARD QUESTION
Front
What does the symbol '>' represent in an inequality?
Back
The symbol '>' means 'greater than'. It indicates that the value on the left must be greater than the value on the right.
5.
FLASHCARD QUESTION
Front
What is the boundary line in a graph of inequalities?
Back
The boundary line is the line that represents the equality part of the inequality. It divides the graph into two regions: one that satisfies the inequality and one that does not.
6.
FLASHCARD QUESTION
Front
What is the difference between a solid line and a dashed line in graphing 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 >).
7.
FLASHCARD QUESTION
Front
How do you graph the inequality y < 2x - 1?
Back
To graph y < 2x - 1, first graph the line y = 2x - 1 as a dashed line. Then shade the area below the line to represent all points where y is less than 2x - 1.
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