Topics
2. Equations & Inequalities in Two Variables
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United States of AmericaFL
Grade 912

2.05 Linear inequalities in two variables

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Paul wants to create a graph of the inequality $y\le4x-4$y≤4x−4.

a

Paul is going to start by sketching the boundary line $y=4x-4$y=4x−4 onto the graph.

Should this line be solid or dashed?

Solid

A

Dashed

B
b

This boundary line is shown below.

Loading Graph...

Which half-plane should be shaded to correctly represent the solution set of the inequality?

The half-plane to the left of the boundary line.

A

The half-plane to the right of the boundary line.

B
Easy
1min

James wants to create a graph of the inequality $y<3x-5$y<3x−5.

Easy
1min

Bart wants to create a graph of the inequality $y\ge2x-3$y≥2x−3.

Easy
1min

Hannah wants to create a graph of the inequality $y>5$y>5.

Easy
1min
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Outcomes

MA.912.AR.2.2

Write a linear two-variable equation to represent the relationship between two quantities from a graph, a written description or a table of values within a mathematical or real-world context.

MA.912.AR.2.4

Given a table, equation or written description of a linear function, graph that function, and determine and interpret its key features.

MA.912.AR.2.5

Solve and graph mathematical and real-world problems that are modeled with linear functions. Interpret key features and determine constraints in terms of the context.

MA.912.AR.2.7

Write two-variable linear inequalities to represent relationships between quantities from a graph or a written description within a mathematical or real-world context.

MA.912.AR.2.8

Given a mathematical or real-world context, graph the solution set to a two-variable linear inequality.

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