Graphing Linear Inequalities

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•
Mathematics
•
9th Grade
•
Hard
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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 (e.g., <, >, ≤, ≥).
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 dashed or solid line, then shade the region that satisfies the inequality.
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
What does the symbol '≥' indicate in an inequality?
Back
The symbol '≥' indicates that the value on the left is greater than or equal to the value on the right.
5.
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 (for < or >), while a solid line indicates that points on the line are included (for ≤ or ≥).
6.
FLASHCARD QUESTION
Front
How do you determine which side of the line to shade when graphing an inequality?
Back
Choose a test point not on the line (commonly (0,0)). If the inequality is true for that point, shade the side of the line that includes the point.
7.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
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