Graphing Linear Inequalities and Systems of Inequalities

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•
Mathematics
•
9th - 12th Grade
•
Hard
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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 compares a linear expression to a value using inequality symbols (e.g., <, >, ≤, ≥).
2.
FLASHCARD QUESTION
Front
What does the symbol '≤' indicate in an inequality?
Back
The symbol '≤' indicates that the value on the left is less than or equal to the value on the right.
3.
FLASHCARD QUESTION
Front
What does the symbol '>' indicate in an inequality?
Back
The symbol '>' indicates that the value on the left is greater than the value on the right.
4.
FLASHCARD QUESTION
Front
How do you graph the inequality y < 3x + 2?
Back
Graph the line y = 3x + 2 as a dashed line and shade below the line.
5.
FLASHCARD QUESTION
Front
What is the difference between a solid line and a dashed line in graphing inequalities?
Back
A solid line indicates that points on the line are included in the solution (≤ or ≥), while a dashed line indicates that points on the line are not included (< or >).
6.
FLASHCARD QUESTION
Front
What does it mean for a point to be a solution to an inequality?
Back
A point is a solution to an inequality if it satisfies the inequality when substituted into it.
7.
FLASHCARD QUESTION
Front
How do you determine if a point (x, y) is a solution to the inequality y ≤ 5x - 1?
Back
Substitute the x and y values into the inequality. If the inequality holds true, then the point is a solution.
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