Graph two-variable inequality
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a two-variable inequality?
Back
2.
FLASHCARD QUESTION
Front
How do you graph a two-variable inequality?
Back
To graph a two-variable inequality, first graph the corresponding equation as a line. Then, use a dashed line for < or > and a solid line for \leq or \geq. Finally, shade the region that satisfies the inequality.
3.
FLASHCARD QUESTION
Front
What does the shaded area in a graph of a two-variable inequality represent?
Back
The shaded area represents all the possible solutions (x, y) that satisfy the inequality.
4.
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 (\geq or \leq), while a dashed line indicates that points on the line are not included ( > or < ).
5.
FLASHCARD QUESTION
Front
Back
It represents all points above and including the horizontal line at y = -1.
6.
FLASHCARD QUESTION
Front
How do you determine if a point is a solution to a two-variable inequality?
Back
To determine if a point (x, y) is a solution, substitute the x and y values into the inequality. If the inequality holds true, then the point is a solution.
7.
FLASHCARD QUESTION
Front
Back
The solution set includes all values of x that are greater than 2, represented graphically as a dashed vertical line at x = 2 with shading to the right.
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