-2x + 6 > 0 => -2x > -6 => x < 3.

-2x + 6 ≥ 0 => -2x ≥ -6 => x ≤ 3.

-3x + 1 ≤ 4 => -3x ≤ 3 => x ≥ -1.

-3x + 4 ≤ 1 => -3x ≤ -3 => x ≥ 1.

2x + 3 ≤ 7 => 2x ≤ 4 => x ≤ 2.

6 - x > 2 => -x > -4 => x < 4.

6 - x ≤ 3 => -x ≤ -3 => x ≥ 3.

7 - 3x < 1 => -3x < -6 => x > 2.

7x - 2 ≤ 5x + 6 => 2x ≤ 8 => x ≤ 4.

2(x - 1) ≥ 3 => x - 1 ≥ 1.5 => x ≥ 2.

2x + 3 > 5 => 2x > 2 => x > 1.

2x + 3 > 7 => 2x > 4 => x > 2.

2x + 3 ≤ 7 => 2x ≤ 4 => x ≤ 2.

3x - 4 < 2x + 5 => x < 9.

4x - 1 > 3 => 4x > 4 => x > 1.

4x - 1 > 3x + 2 => x > 3.

4x - 1 < 3 => 4x < 4 => x < 1.

4x - 8 < 0 => 4x < 8 => x < 2.

5 - 2x ≤ 3 => -2x ≤ -2 => x ≥ 1.

5 - x ≥ 2 => -x ≥ -3 => x ≤ 3.

5x - 1 > 4 => 5x > 5 => x > 1.

5x - 7 < 3 => 5x < 10 => x < 2.

5x - 7 ≥ 3 => 5x ≥ 10 => x ≥ 2.

6x + 4 < 10 => 6x < 6 => x < 1.

6x - 4 < 2x + 8 => 4x < 12 => x < 3.

7 - 3x < 1 => -3x < -6 => x > 2.

Subtract 2 from both sides: 7x ≥ 2. Then divide by 7: x ≥ 2/7.

7x + 3 < 4x + 12 => 3x < 9 => x < 3.

Add 4 to both sides: 7x ≥ 14. Then divide by 7: x ≥ 2.

2(x - 1) ≥ 3 => x - 1 ≥ 1.5 => x ≥ 2.5.