Question

solve the inequality for v. 3v - 14 > 43 simplify your answer as much as possible.

Explanation:

Step1: Add 14 to both sides

To isolate the term with \( v \), we add 14 to both sides of the inequality \( 3v - 14>43 \). This gives us \( 3v - 14 + 14>43 + 14 \), which simplifies to \( 3v>57 \).

Step2: Divide both sides by 3

To solve for \( v \), we divide both sides of the inequality \( 3v>57 \) by 3. So, \( \frac{3v}{3}>\frac{57}{3} \), which simplifies to \( v > 19 \).

Answer:

\( v > 19 \)