What is a linear inequality?
Graphing Systems of 3 Linear Inequalities

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•
Mathematics
•
8th - 10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A linear inequality is a mathematical statement that relates a linear expression to a value using inequality symbols (such as <, >, ≤, or ≥) instead of an equal sign.
2.
FLASHCARD QUESTION
Front
How do you graph a linear inequality?
Back
To graph a linear inequality, first graph the corresponding linear equation as a boundary line. Then, use a dashed line for < or > and a solid line for ≤ or ≥. Finally, shade the region that satisfies the inequality.
3.
FLASHCARD QUESTION
Front
What does the solution set of a system of inequalities represent?
Back
The solution set of a system of inequalities represents all the points (x, y) that satisfy all the inequalities in the system simultaneously.
4.
FLASHCARD QUESTION
Front
What is the difference between a dashed line and a solid line in graphing inequalities?
Back
A dashed line indicates that points on the line are not included in the solution set (for < or >), while a solid line indicates that points on the line are included (for ≤ or ≥).
5.
FLASHCARD QUESTION
Front
How can 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.
6.
FLASHCARD QUESTION
Front
What is the significance of the intersection of shaded regions in a graph of inequalities?
Back
The intersection of shaded regions represents the solution set of the system of inequalities, where all conditions are satisfied.
7.
FLASHCARD QUESTION
Front
What does the notation 'y > mx + b' represent?
Back
The notation 'y > mx + b' represents a linear inequality where 'm' is the slope and 'b' is the y-intercept, indicating that y is greater than the value of the linear expression.
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