Final answer:
Solve the inequality -4v + 5 > 10v + 4 by moving the variable terms to one side and constants to the other, then isolate the variable to find that v is less than 1/14.
Step-by-step explanation:
To solve the inequality -4v + 5 > 10v + 4 for v, we will first move all terms involving v to one side of the inequality and the constant terms to the other side. This will give us a simplified inequality that we can solve for v.
Step 1: Add 4v to both sides of the inequality to move the variable to one side.
-4v + 5 + 4v > 10v + 4 + 4v
This simplifies to 5 > 14v + 4.
Step 2: Subtract 4 from both sides to move the constant term to the other side.
5 - 4 > 14v + 4 - 4
This simplifies to 1 > 14v.
Step 3: Divide both sides by 14 to solve for v.
1/14 > v
The solution to the inequality is v < 1/14.