7. Solving Inequalities Algebraically

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

Correct Answer: x^2+10x+9=0

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

Correct Answer: x^2+10x+9=0

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

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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