System of Linear Inequalities

System of Linear Inequalities

Assessment

Flashcard

Mathematics

9th Grade

Hard

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a system of linear inequalities?

Back

A system of linear inequalities is a set of two or more linear inequalities that share 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 determine if a point is a solution to a system of inequalities?

Back

To determine if a point is a solution, substitute the point's coordinates into each inequality. If the point satisfies all inequalities, it is a solution.

3.

FLASHCARD QUESTION

Front

What does a solid line represent in the graph of an inequality?

Back

A solid line indicates that the points on the line are included in the solution set, meaning the inequality is 'greater than or equal to' (≥) or 'less than or equal to' (≤).

4.

FLASHCARD QUESTION

Front

What does a dashed line represent in the graph of an inequality?

Back

A dashed line indicates that the points on the line are not included in the solution set, meaning the inequality is 'greater than' (>) or 'less than' (<).

5.

FLASHCARD QUESTION

Front

What is the graphical representation of the inequality y < 2x + 3?

Back

The graph will show a dashed line for y = 2x + 3, and the area below the line represents the solution set.

6.

FLASHCARD QUESTION

Front

What is the solution set of the system of inequalities y > x + 1 and y < -x + 4?

Back

The solution set is the region where the area above the line y = x + 1 and below the line y = -x + 4 overlap.

7.

FLASHCARD QUESTION

Front

How can you graph a system of linear inequalities?

Back

1. Graph each inequality as if it were an equation. 2. Use solid or dashed lines as appropriate. 3. Shade the appropriate region for each inequality. 4. The solution is where the shaded regions overlap.

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