Graphing Linear Inequalities

Presentation

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Mathematics

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Practice Problem

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Medium

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CCSS

HSA.REI.D.12, 6.NS.B.3

Standards-aligned

Symone Richard

Used 12+ times

FREE Resource

6 Slides • 32 Questions

Graphing Linear Inequlities

Shading on a Coordinate Plane

WHEN YOU SEE A PENCIL,YOU MUST WRITE THIS DOWN!!!!

Solid Lines:

Solid lines indicate inclusion (included).

Types of Inequalities that indicates inclusion

Greater Than/Equal to above the Line ≥
Lesser Than/Equal to below the line ≤

Dotted/Dashed Lines

Dotted/Dashed Lines indicates not included

Types of Inequalities that indicates not included

Greater than shade above the line >
Less than shade below the line <

CFS...

When answering questions...

Make sure your equation is in slope-intercept form. (y=mx+b)
Flip your inequality when you divide/multiply by a negative.
Look at your inequality box to eliminate two answers.
Graph your equation on Desmos to check your answer.

Multiple Choice

When graphing a linear inequality, $\le$ and $\ge$ signs would require you to draw...

a solid line

a dotted line

Multiple Choice

When graphing a linear inequality, < and > signs would require you to draw...

a solid line

a dotted line

Multiple Choice

How would you graph the following linear inequality?

y ≥ 4

Dashed line, shade above

Dashed line, shade below

Solid line, shade above

Solid line, shade below

Multiple Choice

How would you graph the following linear inequality?

y\ ≤\ \frac{4}{3}x\ -\ 4

Dashed line, shade above

Dashed line, shade below

Solid line, shade above

Solid line, shade below

Multiple Choice

Which of the graphs represents the linear inequality $y>\frac{1}{2}x+3$ ?

Multiple Choice

What is the equation of the line?

y > 3/2 x + 1

y< -3/2 x +1

y < -3/2 x + 1

y > 3/2 x + 1

Multiple Choice

y < 2x - 5

y > 2x - 5

y ≤ 2x - 5

y ≥ 2x - 5

Multiple Choice

y < -4

y > -4

y ≤ -4

y ≥ -4

Multiple Choice

y < -x - 5

y > -x - 5

y ≤ -x - 5

y ≥ -x - 5

Multiple Choice

y < 3/5x - 5

y > 3/5x - 5

y ≤ 3/5x - 5

y ≥ 3/5x - 5

Multiple Choice

Which of the graphs represents the linear inequality $y\le-x-4$ ?

Multiple Choice

Which of the following linear inequalities represents the graph?

$y\ge3x-5$

$y\ge\frac{1}{3}x-5$

$y\le-\frac{1}{3}x-5$

$y>\frac{1}{3}x+5$

Multiple Choice

Which of the following linear inequalities represents the graph?

$y\ge3$

$x\ge3$

$y\le3$

$y<3$

Multiple Choice

Which of the following linear inequalities represents the graph?

$x\ge2$

$x\ge-2$

$y\ge-2$

$y>-2$

Multiple Choice

Which of the following linear inequalities represents the graph?

$y\ge3x$

$y>3x$

$y<3x$

$y>\frac{1}{3}x$

Multiple Choice

Which of the following linear inequalities represents the graph?

$y\ge\frac{1}{4}x$

$y\le4x-2$

$y<\frac{1}{4}x+2$

$y\le\frac{1}{4}x+2$

Multiple Choice

Which of the following linear inequalities represents the graph?

$y>-\frac{4}{5}x-1$

$y\le\frac{4}{5}x+1$

$y<-\frac{4}{5}x-1$

$y\le-\frac{4}{5}x+1$

Multiple Choice