A2A 2.3 Systems Linear Inequalities

A2A 2.3 Systems Linear Inequalities

Assessment

Flashcard

Mathematics

University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

Student preview

quiz-placeholder

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that relates a linear expression to a value using inequality symbols (>, <, ≥, ≤) instead of an equal sign.

2.

FLASHCARD QUESTION

Front

What does the graph of a linear inequality represent?

Back

The graph of a linear inequality represents all the solutions to the inequality, which are the points that satisfy the inequality.

3.

FLASHCARD QUESTION

Front

How do you determine if a point is a solution to a linear inequality?

Back

To determine if a point is a solution, substitute the x and y values of the point into the inequality. If the inequality holds true, the point is a solution.

4.

FLASHCARD QUESTION

Front

What is the difference between a strict and non-strict inequality?

Back

A strict inequality uses < or >, meaning the boundary line is not included. A non-strict inequality uses ≤ or ≥, meaning the boundary line is included.

5.

FLASHCARD QUESTION

Front

What is the significance of the boundary line in a linear inequality?

Back

The boundary line divides the coordinate plane into two regions: one that contains the solutions to the inequality and one that does not.

6.

FLASHCARD QUESTION

Front

How do you graph a linear inequality?

Back

1. Graph the boundary line (dashed for strict, solid for non-strict). 2. Choose a test point not on the line to determine which side of the line to shade.

7.

FLASHCARD QUESTION

Front

What does it mean for a point to be 'not a solution' to a system of inequalities?

Back

A point is 'not a solution' if it does not satisfy at least one of the inequalities in the system.

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?