To solve the inequality \( x - 5 < \frac{x}{6} \), the best approach is to eliminate the fraction and simplify the inequality.
So, the correct first step is:
D. Multiply both sides of the inequality by 6 to simplify: \( 6(x - 5) < x \)
Expanding this, you get:
\( 6x - 30 < x \)
This effectively removes the fraction from the inequality and allows you to work with whole numbers.