Solve the inequality $x + 1 \ge 3x$.

1. Problem Description

Solve the inequality $x + 1 \ge 3x$.

2. Solution Steps

We are given the inequality $x + 1 \ge 3x$.

First, subtract $x$ from both sides of the inequality:

$x + 1 - x \ge 3x - x$

$1 \ge 2x$

Next, divide both sides of the inequality by $2$:

$\frac{1}{2} \ge \frac{2x}{2}$

$\frac{1}{2} \ge x$

This can be written as $x \le \frac{1}{2}$.

3. Final Answer

$x \le \frac{1}{2}$