Practice Graphing Linear Inequalities
Flashcard
•
Mathematics
•
10th 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 relates a linear expression to a value using inequality symbols (>, <, ≥, ≤) instead of an equal sign.
2.
FLASHCARD QUESTION
Front
How do you graph a linear inequality?
Back
1. Graph the corresponding linear equation as a boundary line. 2. Use a dashed line for < or > and a solid line for ≤ or ≥. 3. Shade the region that satisfies the inequality.
3.
FLASHCARD QUESTION
Front
What does the solution set of a linear inequality represent?
Back
The solution set represents all the points (x, y) that satisfy the inequality.
4.
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.
5.
FLASHCARD QUESTION
Front
How do you find the y-intercept of a linear inequality?
Back
To find the y-intercept, set x = 0 in the inequality and solve for y.
6.
FLASHCARD QUESTION
Front
What does it mean if a point is a solution to a linear inequality?
Back
A point is a solution if it satisfies the inequality when substituted into the expression.
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 (≥ or ≤), while a dashed line indicates they are not included (> or <).
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