6v - 2 ≥ 9v - 14

Answer 1

To solve the inequality 6v - 2 ≥ 9v - 14, you need to isolate the variable v on one side of the inequality sign. Here are the steps to solve it:

1. Start by subtracting 6v from both sides of the inequality to eliminate the variable term on the left side:
- 6v - 6v - 2 ≥ 9v - 6v - 14
- -2 ≥ 3v - 14

2. Next, add 14 to both sides of the inequality to eliminate the constant term on the right side:
- -2 + 14 ≥ 3v - 14 + 14
- 12 ≥ 3v

3. Divide both sides of the inequality by 3 to solve for v:
- 12/3 ≥ 3v/3
- 4 ≥ v

The solution to the inequality is v ≤ 4.