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Solving Systems of Linear Inequalities

Solving Systems of Linear Inequalities

Assessment

Flashcard

Mathematics

7th - 11th 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 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

What does the graph of a linear inequality represent?

Back

The graph of a linear inequality represents all the solutions that satisfy the inequality, typically shown as a shaded region on a coordinate plane.

3.

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.

4.

FLASHCARD QUESTION

Front

What is the difference between '>' and '≥'?

Back

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

5.

FLASHCARD QUESTION

Front

What does the solution to a system of linear inequalities look like?

Back

The solution to a system of linear inequalities is the region where the shaded areas of all inequalities overlap on the graph.

6.

FLASHCARD QUESTION

Front

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

Back

Substitute the coordinates of the point into the inequality. If the inequality holds true, then the point is a solution.

7.

FLASHCARD QUESTION

Front

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

Back

The boundary line indicates the limit of the solutions; points on the line may or may not be included in the solution set, depending on the inequality.

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