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Systems of Linear Inequalities

Systems of Linear Inequalities

Assessment

Flashcard

Mathematics

9th Grade

Practice Problem

Easy

Created by

Angelica Espinoza

Used 2+ times

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 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 that satisfy the inequality, typically shown as a shaded region on one side of a boundary line.

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 point's coordinates 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 (< or >) does not include the boundary line, while a non-strict inequality (≤ or ≥) includes the boundary line.

5.

FLASHCARD QUESTION

Front

What does the symbol 'y < 3' represent on a graph?

Back

The symbol 'y < 3' represents all points below the horizontal line y = 3, not including the line itself.

6.

FLASHCARD QUESTION

Front

What is the solution set of the inequality 'y > 2x - 4'?

Back

The solution set includes all points above the line y = 2x - 4, excluding the line itself.

7.

FLASHCARD QUESTION

Front

How can you graph the system of inequalities 'y < 2' and 'y > 2x - 4'?

Back

Graph the line y = 2 as a dashed line (not included) and shade below it. Then graph y = 2x - 4 as a dashed line and shade above it. The solution is where the shaded regions overlap.

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