1) 3x – 7 < x + 1

3x – x < 1 + 7

2x < 8

x < 4

2) 2 + x > 8 – x

x + x > 8 – 2

2x > 6

x > 3

3) 1 – x ≤ 2x – 5

2x + x ≥ 1 + 5

3x ≥ 6

x ≥ 2

4) 2x + 1 > x + 6

2x – x > 6 – 1

x > 5

5) 4x + 2 > 3x + 1

4x – 3x > 1 – 2

x > –1

6) 6x + 1 < 2x + 9

6x – 2x < 9 – 1

4x < 8

x < 2