Question

What is the minimum value of v that satisfies the given inequality 9v-30≥5v-6?

Answer 1

To solve the inequality \( 9v - 30 \geq 5v - 6 \), we will first isolate \( v \).

1. Start by subtracting \( 5v \) from both sides:
\[
9v - 5v - 30 \geq -6
\]
Simplifying the left side gives:
\[
4v - 30 \geq -6
\]

2. Next, add 30 to both sides:
\[
4v - 30 + 30 \geq -6 + 30
\]
Which simplifies to:
\[
4v \geq 24
\]

3. Now divide both sides by 4:
\[
v \geq 6
\]

The minimum value of \( v \) that satisfies the inequality is \( \boxed{6} \).