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 (which 3 is), and it doesn't reverse the inequality sign.

$$ 29\times3 > \frac{k}{3}\times3 $$

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:

\( k < 87 \) (or in the boxed form as per the problem's input style, but since the problem has a box and then relation symbols, the solution is \( k < 87 \) with the relation \( < \) and the value 87, so filling the box with 87 and the relation \( < \) as per the options, but following the step - by - step, the final answer for \( k \) is \( k < 87 \))