Graphing Linear Inequalities

Graphing Linear Inequalities

Assessment

Flashcard

Mathematics

9th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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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 (>, <, ≥, ≤). It represents a region of the coordinate plane.

2.

FLASHCARD QUESTION

Front

How do you graph a linear inequality?

Back

1. Graph the corresponding linear equation as a solid line (for ≥ or ≤) or a dashed line (for > or <). 2. Shade the region that satisfies the inequality.

3.

FLASHCARD QUESTION

Front

What does the dashed line represent in graphing inequalities?

Back

A dashed line indicates that the points on the line are not included in the solution set (for inequalities using < or >).

4.

FLASHCARD QUESTION

Front

What does the solid line represent in graphing inequalities?

Back

A solid line indicates that the points on the line are included in the solution set (for inequalities using ≤ or ≥).

5.

FLASHCARD QUESTION

Front

How do you determine which side of the line to shade for an inequality?

Back

Choose a test point not on the line (commonly (0,0)). If the inequality is true for that point, shade the region containing the point; otherwise, shade the opposite side.

6.

FLASHCARD QUESTION

Front

What is the inequality symbol for 'greater than'?

Back

>

7.

FLASHCARD QUESTION

Front

What is the inequality symbol for 'less than or equal to'?

Back

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