What is a linear inequality?
Linear Inequalities

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•
Mathematics
•
8th - 9th 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 solid line (for ≤ or ≥) or a dashed line (for < or >). Then, shade the region that satisfies the inequality.
3.
FLASHCARD QUESTION
Front
What does the solution set of a linear inequality represent?
Back
The solution set of a linear inequality represents all the points (x, y) that satisfy the inequality, which can be visualized as a shaded region on a graph.
4.
FLASHCARD QUESTION
Front
What is the significance of the boundary line in a linear inequality?
Back
The boundary line in a linear inequality separates the solution set from the non-solution set. Points on the line are included in the solution set if the inequality is ≤ or ≥.
5.
FLASHCARD QUESTION
Front
How do you determine if a point is a solution to a linear inequality?
Back
To determine if a point is a solution, substitute the x and y values of the point into the inequality. If the inequality holds true, then the point is a solution.
6.
FLASHCARD QUESTION
Front
What is the difference between a solid line and a dashed line in graphing linear inequalities?
Back
A solid line indicates that points on the line are included in the solution set (for ≤ or ≥), while a dashed line indicates that points on the line are not included (for < or >).
7.
FLASHCARD QUESTION
Front
What does the expression 'y ≤ 2/5x + 1' represent?
Back
The expression 'y ≤ 2/5x + 1' represents a linear inequality where the region below or on the line y = 2/5x + 1 is included in the solution set.
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