Graphing Linear Inequalities
Flashcard
•
Mathematics
•
8th Grade - University
•
Practice Problem
•
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 (>, <, ≥, ≤).
2.
FLASHCARD QUESTION
Front
What does the graph of a linear inequality represent?
Back
The graph of a linear inequality represents all the solutions that satisfy the inequality, typically shown as a shaded region on one side of a boundary line.
3.
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 <).
4.
FLASHCARD QUESTION
Front
How do you find the y-intercept of a linear equation?
Back
To find the y-intercept, set x = 0 in the equation and solve for y.
5.
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.
6.
FLASHCARD QUESTION
Front
How do you graph the inequality y > 2x + 1?
Back
Graph the line y = 2x + 1 with a dashed line, then shade above the line to represent y values greater than the line.
7.
FLASHCARD QUESTION
Front
What does the inequality y ≤ -3/4x + 3 indicate about the graph?
Back
It indicates that the graph includes the line y = -3/4x + 3 (solid line) and shades below the line.
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