3x + 5 ≥ 2x + 8 => x ≥ 3.

Add 7 to both sides: 3x ≤ 9. Then divide by 3: x ≤ 3.

6 - 2x ≤ 0 => -2x ≤ -6 => x ≥ 3.

6 - 3x ≤ 0 => -3x ≤ -6 => x ≥ 2.

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

8x + 1 ≤ 5 => 8x ≤ 4 => x ≤ 0.5.

x + 2 > 3 => x > 1.

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

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

5x - 7 < 3x + 1 => 2x < 8 => x < 4.

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

7 - 2x > 3 => -2x > -4 => x < 2.

7 - 2x ≥ 1 => -2x ≥ -6 => x ≤ 3

7 - 2x ≥ 3 => -2x ≥ -4 => x ≤ 2.

7 - 3x ≤ 1 => -3x ≤ -6 => x ≥ 2.

7 - 3x ≥ 1 => -3x ≥ -6 => x ≤ 2.

7x + 1 ≥ 15 => 7x ≥ 14 => x ≥ 2

-2x + 4 > 0 => -2x > -4 => x < 2

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

-2x + 5 > 1 => -2x > -4 => x < 2.

-3x + 2 ≤ 5 => -3x ≤ 3 => x ≥ -1.

Subtract 1 from both sides: -4x > 8. Then divide by -4 (reverse the inequality): x < -2.

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

-4x + 8 ≤ 0 => -4x ≤ -8 => x ≥ 2.

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

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

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

2(x - 1) > 3 => x - 1 > 3/2 => x > 5/2.

2(x - 1) > 3x + 4 => 2x - 2 > 3x + 4 => -x > 6 => x < -6.

2x + 4 ≤ 10 => 2x ≤ 6 => x ≤ 3.