Question

solve for k.
10k > 460

Explanation:

Step1: Divide both sides by 10

To solve for \( k \) in the inequality \( 10k > 460 \), we divide both sides of the inequality by 10. Since 10 is a positive number, the direction of the inequality sign remains the same.
\[
\frac{10k}{10} > \frac{460}{10}
\]

Step2: Simplify both sides

Simplifying the left - hand side, \( \frac{10k}{10}=k \). Simplifying the right - hand side, \( \frac{460}{10} = 46 \). So we get \( k>46 \).

Answer:

\( k > 46 \)