What is a linear inequality?
5A Graphing systems of Linear Inequalities

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Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
2.
FLASHCARD QUESTION
Front
What does it mean for a system of linear inequalities to have no solution?
Back
A system of linear inequalities has no solution when the inequalities represent parallel lines that do not intersect.
3.
FLASHCARD QUESTION
Front
What is the graphical representation of a linear inequality?
Back
The graphical representation of a linear inequality is a half-plane divided by a boundary line, which can be solid (inclusive) or dashed (exclusive).
4.
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.
5.
FLASHCARD QUESTION
Front
What is the difference between a solid line and a dashed line in graphing inequalities?
Back
6.
FLASHCARD QUESTION
Front
What does the term 'feasible region' refer to in the context of linear inequalities?
Back
The feasible region is the area on the graph where all the solutions to the system of inequalities exist. It is the intersection of all half-planes.
7.
FLASHCARD QUESTION
Front
How can you graph a system of linear inequalities?
Back
To graph a system of linear inequalities, first graph each inequality as a line, then shade the appropriate half-plane for each inequality. The overlapping shaded area represents the solution set.
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