Solve the inequality for $$ v $$. $$ -\frac{1}{6}+v\frac{2}{3} $$ Simplify your answer as much as possible.

Question

Solve the inequality for $$ v $$. $$ -\frac{1}{6}+v>\frac{2}{3} $$ Simplify your answer as much as possible.

UpStudy AI · Accepted Answer

To solve the inequality:

$$
-\frac{1}{6} + v > \frac{2}{3}
$$

**Step 1: Isolate $$ v $$ by adding $$\frac{1}{6}$$ to both sides of the inequality.**

$$
v > \frac{2}{3} + \frac{1}{6}
$$

**Step 2: Combine the fractions on the right side.**

First, find a common denominator for $$\frac{2}{3}$$ and $$\frac{1}{6}$$. The least common denominator (LCD) is 6.

$$
\frac{2}{3} = \frac{4}{6} \quad \text{(since $$2 \times 2 = 4$$ and $$3 \times 2 = 6$$)}
$$

Now, add the fractions:

$$
v > \frac{4}{6} + \frac{1}{6} = \frac{5}{6}
$$

**Final Solution:**

$$
v > \frac{5}{6}
$$
$$ v > \frac{5}{6} $$

Solve the inequality for \( v \). \[ -\frac{1}{6}+v>\frac{2}{3} \] Simplify your answer as much as possible.