Lesson 5-4: Solve Inequalities Using Addition Or Subtraction

Lesson 5-4: Solve Inequalities Using Addition Or Subtraction

Open Ended

What is an inequality?

Open Ended

How do the Addition and Subtraction Properties of Inequality help us solve inequalities?

Multiple Select

Question #1

Select all that apply

• You use inverse operations

• You have to isolate the variable

• Inequalities have more than one solution

• Inequalities and Equations are solved completely differently.

Poll

Question #2

Are the solutions the same?

• Yes

• No

Open Ended

Question #2a

How are the solutions different?

Fill in the Blanks

Question #2b

"The solution x =

works for both inequalities."

Multiple Select

Question #3
Select all that apply
Which of these inequalities will have a solution that is the same as the equation given to you?

• x - 23 > 191

• x - 23   $\ge$  191

• x < 214

• x  $\ge$   214

Think about how to graph inequalities...

• When do you use an open circle?

• with < or >

• When do you use a closed circle?

• with  $\le$   or  $\ge$  

Multiple Choice

Question #4a

• x > 8

• x > -2

• x > -8

• x > 2

Multiple Choice

Question #4b

• x $\le$ -2

• x $\le$ 2

• x $\le$ -8

• x $\le$ 8

Multiple Choice

Question #4c

• x < 2

• x < -2

• x < 1.5

• x < -1.5

Fill in the Blanks

Question #5a

43.5 + x =

Multiple Choice

Question #5b

• s $\le$ 98.5

• s $\le$ 11.5

• s $\le$ -98.5

• s $\le$ -11.5

Fill in the Blanks

The answer to #5b means that Elanor can

her speed by 11.5 miles per hour or less.

Multiple Choice

Question #6

• x < 2; open circle

• x < 2; closed circle

• x < -2; open circle

• x < -2; closed circle

Multiple Choice

Question #7

• 8; open circle

• 8; closed circle

• 16; open circle

• 16; closed circle

Multiple Choice

Question #8

• 4; closed circle

• 4; open circle

• 24; closed circle

• 24; open circle

Fill in the Blanks

Question #9

To solve this question I will

20 to both sides.

Multiple Choice

Question #9
x  $\le$  

• 9; closed circle

• 9; open circle

• 31; closed circle

• -31; closed circle

Read #10

• What does the word "maximum" mean?

• We can go up to that number but now above it

• What phrases could we use in math to mean that the amount does not "exceed the maximum"?

• less than, no more than, fewer than,...

Multiple Choice

Question #10

• Only 10 student

• More than 10 students

• At least 10 students

• No more than 10 students