The problem requires us to solve the inequality $20 + 7x \le 34$ and graph the solution on the number line provided.

1. Problem Description

The problem requires us to solve the inequality $20 + 7x \le 34$ and graph the solution on the number line provided.

2. Solution Steps

To solve the inequality $20 + 7x \le 34$, we need to isolate $x$.

First, subtract 20 from both sides of the inequality:

$20 + 7x - 20 \le 34 - 20$

$7x \le 14$

Next, divide both sides of the inequality by 7:

$\frac{7x}{7} \le \frac{14}{7}$

$x \le 2$

This means that $x$ is less than or equal to

2. To graph this on the number line, we need to indicate all numbers less than or equal to

2. We draw a closed circle (or a filled-in circle/dot) at 2 and shade the line to the left of

2.

3. Final Answer

The solution to the inequality is $x \le 2$.

On the number line, we draw a closed circle at 2 and shade the line to the left of 2.