Original Worksheet

1. *x* - 10 > 10

x- 10 + 10 > 10 + 10x> 20

2. *p* + 3 ≤ 16

p+ 3 - 3 ≤ 16 - 3p≤ 13

3. *p* + 12 < 2*p* - 7

p+ 12 - 12 < 2p- 7 - 12< 2

pp- 19- 2

pp< 2p- 19 - 2p

-1p< -19

-1p/-1 > -19/-1

p> 19

4. -*y* + 5 ≤ -11

-1

y+ 5 - 5 ≤ -11 - 5

-1y≤ -16

y≥ 16

5. *j* - 21 < 21

j- 21 + 21 < 21 + 21

j< 42

6. 3(*y* - 5) ≥ 0

3(

y- 5)/3 ≥ 0/3- 5 ≥ 0

y- 5 + 5 ≥ 0 + 5

y

y≥ 5

7. 3(*x* - 11) < 6*x*

3(

x- 11)/3 < 6x/3- 11 < 2

xx- 11 -

xx< 2x-x

-11 < x

8. -11*p* + *p* > -80

-10

p> -80

-10p/-10 < -80/-10

p< 8