Question

solve for n.
\\(\frac{n}{3} > 6\\)

Explanation:

Step1: Multiply both sides by 3

To solve for \( n \) in the inequality \( \frac{n}{3} > 6 \), we multiply both sides of the inequality by 3. This is a valid operation for inequalities as long as we multiply by a positive number (which 3 is), so the direction of the inequality sign remains the same.

$$ \frac{n}{3} \times 3 > 6 \times 3 $$

Step2: Simplify both sides

Simplifying the left - hand side, \( \frac{n}{3}\times3=n \). Simplifying the right - hand side, \( 6\times3 = 18 \). So we get \( n>18 \).

Answer:

\( n > 18 \)