Lesson: Graphing Linear Inequalities

Presentation

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Mathematics

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9th Grade

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Practice Problem

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Medium

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CCSS

HSA.REI.D.12, 6.EE.B.6, 6.EE.B.8

Standards-aligned

Christopher Gassler

Used 19+ times

FREE Resource

7 Slides • 7 Questions

Multiple Choice

Do you have your phone in the box, notebook out, and ready to take notes?

(you will need to take a picture and upload it at the end)

YES I have my notebook out

No, I know it means a bad grade

Graphing Linear Inequalities

Objective: Graph linear inequalities and determine solutions.

Graphing

Graph: y = 4x - 3

Graphing Equations and Inequalities

Graphs of inequalities are similar to linear equations because they both have points on a coordinate plane and a line connecting the points. However, a linear equation is ONLY the line but an inequality extends beyond that line.

y < 2x - 1

Graphing Linear Inequalities

The inequality symbol tells you if the line in the graph is a SOLID or a DOTTED line.

< or > DOTTED line

≤ or ≥ SOLID line

y ≤ 2x - 1

y < -3x + 1

Graphing Linear Inequalities

The inequality symbol tells you to SHADE ABOVE or SHADE BELOW the line.

< or ≤ Shade BELOW

> or ≥ Shade ABOVE

y ≥ -3x + 1

Match

Match the following symbol with how you would graph the inequality.

≤

≥

Dotted Line Shaded Below

Dotted Line Shaded Above

Solid Line Shaded Below

Solid Line Shaded Above

Match

Match the following graphs with the inequality.

y < 2x + 1

y ≤ 2x + 1

y > 2x + 1

y ≥ 2x + 1

Graphing Vertical Linear Inequalities

x = -2

x < -2

x ≥ -2

Graphing Horizontal Linear Inequalities

y = -2

y < -2

y ≥ -2

Match

Match the following inequality with its graph.

x < 3

x > 3

y < 3

y > 3

Solutions to Linear Inequalities

Points that lie in the shaded region and if the line is solid, points that lie on the line.

y < -3x + 1

y ≥ -3x + 1

Multiple Choice

Which point is a solution to y > 4x - 3?

(-1, 3)

(-2, 1)

(-1, -10)

Fill in the Blanks

Take a picture of the notes you took for this lesson.

Type answer...

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(you will need to take a picture and upload it at the end)

YES I have my notebook out

No, I know it means a bad grade

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MULTIPLE CHOICE

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