You Will Be Able To:

Solve Multi-step Inequalities

Fraction bust

Distribute

Combine like terms on each side

Get variable on one side (left if possible)

Undo

If by negative, flip inequality

Make sure variable is on the left

, , , or

-4 -42x 22 2x 1

-1 0 1

+1 +13p 63 3p 2

-2 0 2

+1 +1-4c 4-4 -4c -1

-1 0 1

3p – 6 6 +6 +6

3p 123 3p 4

-4 0 4

-4d -4d6d – 9 15 +9 +9

6d 246 6d 4

-4 0 4

When the final solution is true

2x + 3 > 2x – 4

All Real #s

3 > –4

When the final solution is not true

2x + 5 > 2x + 7

No Solution

5 > 7

true false

true false

4y + 1 4y – 8 -4y -4y

1 –8

#all real s

5x –8 5x –4-5x -5x

–8 –4

no solution

3b – 3 3b + 3-3b -3b

–3 3

#all real s

-5x -5xx + 2 2

-2 -2x 0

3a + 1 1 + 3a-3a -3a

1 1

#all real s

4n – 40 –36 +40 +40

4n 44 4n 1

-1 0 1

3( )n + 2 –21

3n + 6 –21 -6 -6

3n -273 3n -9

-9 0 9

8x – 2x 3x+ 36

6x 3x+ 36 -3x -3x

3x 363 3x 12

-12 0 12

2c – 60 0

+60 +602c 602 2c 30

2c – 60 0

80p – 320 0

320

80p – 320 0 +320 +320

80p 32080 80

p 4