Writing Linear Inequalities from Graphs

Writing Linear Inequalities from Graphs

Assessment

Flashcard

Mathematics

9th Grade

Practice Problem

Hard

CCSS
HSA.REI.D.12, 6.EE.B.8, 8.EE.B.6

+2

Standards-aligned

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 compares a linear expression to a value using inequality symbols (>, <, ≥, ≤).

2.

FLASHCARD QUESTION

Front

How do you represent a linear inequality graphically?

Back

A linear inequality is represented graphically by a shaded region on one side of a boundary line, which represents the solutions to the inequality.

Tags

CCSS.HSA.REI.D.12

3.

FLASHCARD QUESTION

Front

What does a dashed line indicate in the graph of a linear inequality?

Back

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

Tags

CCSS.HSA.REI.D.12

4.

FLASHCARD QUESTION

Front

What does a solid line indicate in the graph of a linear inequality?

Back

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

Tags

CCSS.HSA.REI.D.12

5.

FLASHCARD QUESTION

Front

How do you determine which side of the line to shade in a linear inequality?

Back

To determine which side to shade, pick a test point not on the line (often (0,0) if it's not on the line) and substitute it into the inequality. If the inequality holds true, shade that side.

Tags

CCSS.HSA.REI.D.12

6.

FLASHCARD QUESTION

Front

What is the standard form of a linear inequality?

Back

The standard form of a linear inequality is Ax + By < C, Ax + By > C, Ax + By ≤ C, or Ax + By ≥ C, where A, B, and C are constants.

7.

FLASHCARD QUESTION

Front

What is the difference between '>' and '≥' in linear inequalities?

Back

'>' means that the value is strictly greater than, while '≥' means that the value is greater than or equal to.

Tags

CCSS.HSA.REI.D.12

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