Intro to Graphing Linear Inequalities

Flashcard
•
Mathematics
•
8th - 10th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear inequality?
Back
A linear inequality is a mathematical statement that relates a linear expression to a value using inequality symbols such as <, >, ≤, or ≥.
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.
Tags
CCSS.HSA.REI.D.12
3.
FLASHCARD QUESTION
Front
What does the shaded region in a graph of a linear inequality represent?
Back
The shaded region represents all the solutions to the inequality, indicating the set of points that satisfy the inequality.
Tags
CCSS.HSA.REI.D.12
4.
FLASHCARD QUESTION
Front
What is the difference between a solid line and a dashed line in graphing inequalities?
Back
A solid line indicates that the points on the line are included in the solution (≤ or ≥), while a dashed line indicates that the points on the line are not included ( < or >).
Tags
CCSS.HSA.REI.D.12
5.
FLASHCARD QUESTION
Front
How can you determine if a point is a solution to a linear inequality?
Back
To determine if a point is a solution, substitute the coordinates of the point into the inequality. If the inequality holds true, then the point is a solution.
6.
FLASHCARD QUESTION
Front
What is the standard form of a linear inequality?
Back
The standard form of a linear inequality is typically written as Ax + By < C, Ax + By > C, Ax + By ≤ C, or Ax + By ≥ C, where A, B, and C are constants.
7.
FLASHCARD QUESTION
Front
What does the symbol '>' mean in an inequality?
Back
The symbol '>' means 'greater than' and indicates that the value on the left side of the inequality is larger than the value on the right side.
Tags
CCSS.6.EE.B.8
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