What is a system of inequalities?
Systems of Inequalities

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•
Mathematics
•
8th - 9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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 coordinates of the point into each inequality. If the point satisfies all inequalities, it is a solution.
3.
FLASHCARD QUESTION
Front
What does the symbol '≤' mean in an inequality?
Back
'≤' 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 '≥' mean in an inequality?
Back
'≥' means 'greater than or equal to'. It indicates that the value on the left can be greater than or equal to the value on the right.
5.
FLASHCARD QUESTION
Front
What is the graphical representation of a linear inequality?
Back
The graphical representation of a linear inequality is a half-plane. The boundary line is dashed if the inequality is strict ('<' or '>') and solid if it includes equality ('≤' or '≥').
6.
FLASHCARD QUESTION
Front
What is the solution set of a system of inequalities?
Back
The solution set is the region on the graph where the shaded areas of all inequalities overlap. It contains all points that satisfy all inequalities.
7.
FLASHCARD QUESTION
Front
How do you graph a system of inequalities?
Back
1. Graph each inequality as if it were an equation. 2. Use a dashed line for strict inequalities and a solid line for inclusive inequalities. 3. Shade the appropriate region for each inequality. 4. Identify the overlapping shaded region.
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