Question

solve for k.
29 > \\(\frac{k}{3}\\)

Explanation:

Step1: Multiply both sides by 3

To solve for \( k \) in the inequality \( 29 > \frac{k}{3} \), 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 (and 3 is positive), so the direction of the inequality sign remains the same.
\[
29\times3 > \frac{k}{3}\times3
\]

Step2: Simplify both sides

Simplifying the left side: \( 29\times3 = 87 \). Simplifying the right side: \( \frac{k}{3}\times3 = k \). So we get:
\[
87 > k
\]
Which can also be written as \( k < 87 \).

Answer:

\( k < 87 \)