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graphing systems of Inequalites

graphing systems of Inequalites

Assessment

Flashcard

Mathematics

9th - 12th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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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 set of all points that satisfy all inequalities in the system.

2.

FLASHCARD QUESTION

Front

How do you graph a system of inequalities?

Back

To graph a system of inequalities, first graph each inequality as if it were an equation. Then, use a dashed line for < or > and a solid line for ≤ or ≥. Shade the appropriate region that satisfies the inequality.

3.

FLASHCARD QUESTION

Front

What does it mean when a solution set is above a line in a graph?

Back

It means that the inequality is greater than (y > mx + b) or greater than or equal to (y ≥ mx + b).

4.

FLASHCARD QUESTION

Front

What does it mean when a solution set is below a line in a graph?

Back

It means that the inequality is less than (y < mx + b) or less than or equal to (y ≤ mx + b).

5.

FLASHCARD QUESTION

Front

What is the significance of the intersection of shaded regions in a graph of inequalities?

Back

The intersection of shaded regions represents the solution set that satisfies all inequalities in the system.

6.

FLASHCARD QUESTION

Front

How can you determine if a point is a solution to a system of inequalities?

Back

To determine if a point is a solution, substitute the x and y values of the point into each inequality. If the point satisfies all inequalities, it is part of the solution set.

7.

FLASHCARD QUESTION

Front

What is the difference between a dashed line and a solid line in graphing inequalities?

Back

A dashed line indicates that points on the line are not included in the solution (for < or >), while a solid line indicates that points on the line are included (for ≤ or ≥).

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