To solve the inequality \( x - 5 < \frac{x}{6} \), we want to isolate \( x \). Let's consider the options provided:
A. Divide both sides of the inequality by 6 to simplify: \( -<6 \)
B. Divide both sides of the inequality by \( x \) to simplify: \( 1-2<6 \)
C. Multiply both sides of the inequality by \( x \) to simplify: \( x - 5 < 6 \)
D. Multiply both sides of the inequality by 6 to simplify: \( 6x - 30 < x \)
Among these options, option D is the most direct way to eliminate the fraction and start simplifying the inequality.
Thus, the first step to solve the inequality \( x - 5 < \frac{x}{6} \) is:
D. Multiply both sides of the inequality by 6 to simplify: \( 6x - 30 < x \)
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