Solve the inequality for $$ v $$. $$ \frac{v}{4}7 $$

Question

Solve the inequality for $$ v $$. $$ \frac{v}{4}>7 $$

UpStudy AI · Accepted Answer

To solve the inequality:

$$
\frac{v}{4} > 7
$$

**Step 1: Eliminate the Denominator**

Multiply both sides of the inequality by 4 to isolate $$ v $$. Since 4 is a positive number, the direction of the inequality remains the same.

$$
\frac{v}{4} \times 4 > 7 \times 4
$$

$$
v > 28
$$

**Solution:**

$$
v > 28
$$

**Interval Notation:**

$$
v \in (28, \infty)
$$

This means that $$ v $$ can be any real number greater than 28.
$$ v > 28 $$

Solve the inequality for .