Learn how to graph a linear inequality

Learn how to graph a linear inequality

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to graph linear inequalities by converting them into the y=mx+b form. It covers the steps to isolate the variable y, the importance of flipping the inequality sign when dividing by a negative number, and how to graph the resulting equation. The tutorial also discusses determining whether the line should be dashed or solid and how to use test points to decide the shading of the graph.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in converting a linear inequality to the y = mx + b format?

Isolate the y variable

Multiply both sides by a positive number

Add the x variable to both sides

Flip the inequality sign

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When graphing a linear inequality, how do you determine if the line should be dashed?

If the inequality is less than or equal to

If the inequality is greater than or equal to

If the inequality is strictly greater than or less than

If the inequality is an equation

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the y-intercept of the inequality y < x + 2?

3

2

1

0

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which test point is commonly used to determine the shading of a graph?

(0,0)

(2,2)

(1,1)

(-1,-1)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the test point (0,0) satisfies the inequality, which region should be shaded?

No shading is needed

On the line

Below the line

Above the line