7. Solving Inequalities Algebraically

Presentation

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Mathematics

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9th - 12th Grade

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Practice Problem

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Medium

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CCSS

6.NS.B.3, HSA-REI.B.4B

Standards-aligned

Colleen slatteryc@calvertnet.k12.md.us

Used 2+ times

FREE Resource

2 Slides • 6 Questions

Solving Inequalities Algebraically

Math Response

Page 3 #1

Step 1

Write the equation after you change the inequality symbol to an equal sign.

HINT: Keep everything the same EXCEPT instead of whatever inequality symbol ( $<\ >\ \le\ \ge$ ) you need to write =

Type answer here

Deg^°

Rad

Math Response

Page 3 #1

Step 2

Write the equation after you set the right side = to 0

HINT: If it is already = 0, don't change anything. If it is not add or subtract (depending on what is the opposite) to bring what is on the right to the left side.

Type answer here

Deg^°

Rad

Multiple Choice

Page 3 #1

Step 3- Factor or type into Desmos and see where it crosses the x-axis.

Either solve what is factored or type $x^2+10x+9$ into Desmos and see where it crosses the x-axis.

What are the two answers?

x= -1, 9

x= -1, -9

x= 1, -9

x= 1, 9

Multiple Choice

Page 3 #1

Step 4- Look at the graph on Desmos.

$x^2+10x+9<0$ will be above or below the x-axis?

Below the x-axis

Above the x-axis

Multiple Choice

Step 4-

What is the answer using an inequality?

$x<-9$

$x>-1$

$-9<x<-1$

Multiple Choice

Page 3 #1

Step 5- Graph on a number line

$x^2+10x+9<0$ will be an open or closed circle?

Graph this on your paper.

Open Circle

Closed Circle

Check Step 4 and Step 5

Solving Inequalities Algebraically

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