Question

Solve -1/2(v - 4) < 2 for v

Answer 1

To solve the inequality -1/2(v - 4) < 2 for v, distribute the -1/2, subtract 2, and multiply by -2 to isolate v. The solution is v > 0.

Step-by-step explanation:

To solve the inequality -1/2(v - 4) < 2 for v, we need to isolate v on one side of the inequality sign. Here are the steps:

1. Distribute the -1/2 to both terms inside the parentheses:
   -1/2v + 2 < 2
2. Subtract 2 from both sides of the inequality:
   -1/2v < 0
3. Multiply both sides by -2 to eliminate the fraction and reverse the inequality sign (since we're multiplying by a negative number):
   v > 0

So, the solution to the inequality is v > 0.