Graphing Systems of Inequalities

Flashcard
•
Mathematics
•
9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of inequalities?
Back
A system of inequalities is a set of two or more inequalities with the same variables. The solution is the region where the graphs of the inequalities overlap.
Tags
CCSS.HSA.REI.D.12
2.
FLASHCARD QUESTION
Front
How do you graph a linear inequality?
Back
1. Rewrite the inequality in slope-intercept form (y = mx + b). 2. Graph the boundary line (dashed for < or >, solid for ≤ or ≥). 3. Shade the region that satisfies the inequality.
Tags
CCSS.HSA.REI.D.12
3.
FLASHCARD QUESTION
Front
What does the shaded region in a graph of inequalities represent?
Back
The shaded region represents all the possible solutions to the system of inequalities.
Tags
CCSS.HSA.REI.D.12
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 (≤ or ≥), while a dashed line indicates that points on the line are not included (< or >).
Tags
CCSS.HSA.REI.D.12
5.
FLASHCARD QUESTION
Front
How can you determine if a point is a solution to a system of inequalities?
Back
Substitute the coordinates of the point into each inequality. If the point satisfies all inequalities, it is a solution.
6.
FLASHCARD QUESTION
Front
Back
Tags
CCSS.HSA.REI.D.12
7.
FLASHCARD QUESTION
Front
What does it mean if a point lies outside the shaded region of a graph of inequalities?
Back
It means that the point is not a solution to the system of inequalities.
Tags
CCSS.HSA.REI.D.12
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