My answers are inboldtext.

1. Problem: |7 - x | = 9

|7 - x| = 9....................|7 - x | = -9

|x| = 9 - 7....................|x| = -9 -7

|x| = -2........................|x| = -16

2. Problem: 3 |x - 2| + 4 = 13

|3x - 6| + 4 = 13.............................. 3|x - 2| + 4 = 13

|3x - 6| = 13 - 4...............................3|x - 2| = 13 -9

|3x - 6| = 9.......................................|x - 2| = 3

|3x| = 9 + 6.......................................x - 2 = -3

|3x| = 15...........................................x = 2 + (-3)

X = 5...............................................x = -1

3. Problem: 2x + 8<14

2x<14 - 8

2x < 6

2......2

x<3

4. Problem: 11 > 5y - 9

11 + 9 > 5y

20 > 5y

5......5

4 > y

5. Problem: 5x - 9>- 3 +4x

5x - 4x>- 3 + 9

x>6

Thanks!