Solving Linear Inequalities
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
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
How do you solve the inequality x + 5 ≤ 13?
Back
Subtract 5 from both sides: x ≤ 8.
3.
FLASHCARD QUESTION
Front
What does the solution x ≤ 8 represent on a number line?
Back
It represents all numbers less than or equal to 8, including 8 itself.
4.
FLASHCARD QUESTION
Front
What is the graph of the inequality 3x - 2y < 10?
Back
The graph is a region below the line 3x - 2y = 10, not including the line itself.
5.
FLASHCARD QUESTION
Front
What is the first step in solving a system of inequalities by graphing?
Back
Graph each inequality on the same coordinate plane.
6.
FLASHCARD QUESTION
Front
What does the inequality y > 4x - 2 represent graphically?
Back
It represents the region above the line y = 4x - 2, not including the line.
7.
FLASHCARD QUESTION
Front
How do you determine if a point is a solution to an inequality?
Back
Substitute the point's coordinates into the inequality and check if the statement is true.
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