# Objective: SWBAT… solve and graph multi-step inequalities. - PowerPoint PPT Presentation

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HW: Textbook (show all work) Read p. 171 -174 Do: Problems p. 174-175: 1 – 8, 21- 24; 42, 43, 44. Objective: SWBAT… solve and graph multi-step inequalities. Bell ringer: 5 minutes [will be collected] The record for rainfall in DC is 5 inches in one day. Write an inequality that

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Objective: SWBAT… solve and graph multi-step inequalities.

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HW: Textbook

(show all work)

Do: Problems p. 174-175: 1 – 8, 21- 24; 42, 43, 44

Objective: SWBAT…solve and graph multi-step inequalities.

• Bell ringer: 5 minutes

• [will be collected]

• The record for rainfall in DC is 5 inches in one day.

• Write an inequality that

• represents the amount of

• rain that DC has received

• in a day.

• 2) Solve and graph:

•   x/6 < -7

•  3) Solve for x:

• 3x – 9 – 8x = 11

HW: Textbook

(show all work)

Do: Problems p. 174-175: 1 – 8, 21- 24; 42, 42, 44

o

3

4

5

Objective: SWBAT…solve and graph multi-step inequalities.

### 1) Solve 5m - 8 > 12

5m - 8 > 12

+ 8 + 8

5m > 20

5 5

m > 4

5(4) – 8 = 12

• Draw “the river”

• Add 8 to both sides

• Simplify

• Divide both sides by 5

• Simplify

• Graph the solution

HW: Textbook

(show all work)

Do: Problems p. 174-175: 1 – 8, 21- 24; 42, 42, 44

Objective: SWBAT…solve and graph multi-step inequalities.

### Solve for x in the following equation and inequality:

Solve: x/5 > 20 and x/5 = 20

What is the same about each of the solutions?  What is different about the solutions?

HW: Textbook

(show all work)

Do: Problems p. 174-175: 1 – 8, 21- 24; 42, 42, 44

o

-3

-2

-1

Objective: SWBAT…solve and graph multi-step inequalities.

### 2) Solve 12 - 3a > 18

12 - 3a > 18

• Draw “the river”

• Subtract 12 from both sides

• Simplify

• Divide both sides by -3

• Simplify (Switch the inequality!)

• Graph the solution

- 12 - 12

-3a > 6

-3 -3

a < -2

12 - 3(-2) = 18

HW: Textbook

(show all work)

Do: Problems p. 174-175: 1 – 8, 21- 24; 42, 42, 44

Objective: SWBAT…solve and graph multi-step inequalities.

### Solve for x in the following equation and inequality:

Solve: 3x - 7 = 8 and 3x - 7 < 8

What was the same about how you solved the equation and inequality?  What is different about the solutions?

### Which graph shows the solution to 2x - 10 ≥ 4?

• .

HW: Textbook

(show all work)

Do: Problems p. 174-175: 1 – 8, 21- 24; 42, 42, 44

Objective: SWBAT…solve and graph multi-step inequalities.

• Solve the following inequalities and compare work with a partner:

• 1. 6x - 7 > 2x + 17

• 2. 5x - 12 < 3x - 4

• 3. 7(r - 3) > 13

HW: Textbook

(show all work)

Do: Problems p. 174-175: 1 – 8, 21- 24; 42, 42, 44

o

-25

-24

-23

Objective: SWBAT…solve and graph multi-step inequalities.

• Draw “the river”

• Clear the fraction - Multiply both sides by -4. Do you switch the inequality?

• Yes - Both sides are being multiplied by a negative number

• Simplify

• Graph the solution

a > -24

HW: Textbook

(show all work)

Do: Problems p. 174-175: 1 – 8, 21- 24; 42, 42, 44

-8

-7

-6

Objective: SWBAT…solve and graph multi-step inequalities.

### Solve 2r - 18 ≤ 5r + 3

2r - 18 ≤ 5r + 3

-2r -2r

-18 ≤ 3r + 3

- 3 - 3

-21 ≤ 3r

3 3

-7 ≤ r or r ≥ -7

2(-7) – 18 = 5(-7) + 3

• Draw “the river”

• Subtract 2r from both sides

• Simplify

• Subtract 3 from both sides

• Simplify

• Divide both sides by 3

• Simplify

• Graph the solution

### 6) Solve -2x + 6 ≥ 3x - 4

• x ≥ -2

• x ≤ -2

• x ≥ 2

• x ≤ 2

HW: Textbook

(show all work)

Do: Problems p. 174-175: 1 – 8, 21- 24; 42, 42, 44

o

6

7

8

Objective: SWBAT…solve and graph multi-step inequalities

26p - 20 > 14p + 64

• Draw “the river”

• Subtract 14p from both sides

• Simplify

• Add 20 to both sides

• Simplify

• Divide both sides by 12

• Simplify

• Graph the solution

-14p -14p

12p – 20 > 64

+ 20 + 20

12p > 84

12 12

p > 7

26(7) – 20 = 14(7) + 64

## Solve 26p - 20 > 14p + 64

### What are the values of x if 3(x + 4) - 5(x - 1) < 5?

• x < -6

• x > -6

• x < 6

• x > 6

Objective: SWBAT…solve and graph multi-step inequalities.

HOMEWORK:

HW: Textbook

(show all work)

Do: Problems p. 174-175: 1 – 8, 21- 24; 42, 42, 44

Homework:

Inequality with division/multiplication worksheet

Objective: SWBAT…solve and graph multi-step inequalities.

Exit Ticket:

Solve & Graph

• 3(w+12) < 0

• 8n-2 > 17n + 9

• 10 – 11d < -5d -4