topic badge

2.04 Linear inequalities in two variables

Adaptive
Worksheet

Interactive practice questions

Paul wants to create a graph of the inequality $y\le4x-4$y4x4.

a

Paul is going to start by sketching the boundary line $y=4x-4$y=4x4 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<3x5.

Easy
1min

Bart wants to create a graph of the inequality $y\ge2x-3$y2x3.

Easy
1min

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

Easy
1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

M1.N.Q.A.1

Use units as a way to understand real-world problems.*

M1.N.Q.A.1.A

Choose and interpret the scale and the origin in graphs and data displays.*

M1.A.CED.A.3

Create individual and systems of equations and/or inequalities to represent constraints in a contextual situation, and interpret solutions as viable or non-viable.*

M1.MP1

Make sense of problems and persevere in solving them.

M1.MP2

Reason abstractly and quantitatively.

M1.MP3

Construct viable arguments and critique the reasoning of others.

M1.MP4

Model with mathematics.

M1.MP5

Use appropriate tools strategically.

M1.MP6

Attend to precision.

M1.MP7

Look for and make use of structure.

M1.MP8

Look for and express regularity in repeated reasoning.

What is Mathspace

About Mathspace