Retake PracticeSystems of Linear Inequalities Practical Problems

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Mathematics
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8th - 10th Grade
•
Hard
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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 (such as <, >, ≤, or ≥). It represents a region of solutions on a graph.
2.
FLASHCARD QUESTION
Front
What does the symbol '≥' mean in an inequality?
Back
The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left side of the inequality is either greater than or equal to the value on the right side.
3.
FLASHCARD QUESTION
Front
What does the symbol '<' mean in an inequality?
Back
The symbol '<' means 'less than'. It indicates that the value on the left side of the inequality is smaller than the value on the right side.
4.
FLASHCARD QUESTION
Front
How do you represent a situation where a total must be at least a certain number using inequalities?
Back
You use the '≥' symbol. For example, if a total must be at least 200, you would write the inequality as total ≥ 200.
5.
FLASHCARD QUESTION
Front
What is the significance of the solution set of a linear inequality?
Back
The solution set of a linear inequality represents all the possible values that satisfy the inequality. It can be graphed as a shaded region on a coordinate plane.
6.
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.
7.
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 set (for ≤ or ≥), while a dashed line indicates that points on the line are not included (for < or >).
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