How do I graph the solution to the inequality 31 x 2 x 4 on a number line?

To graph the solution to the inequality 31 x 2 x 4, we first need to simplify the expression. However, it seems there may be some confusion in the formulation of the problem as it does not appear to be in traditional inequality form.

Assuming you meant to create the inequality, perhaps something like 31x ≤ 2x + 4, we can first solve the inequality for x:

1. Subtract 2x from both sides: 31x – 2x ≤ 4
2. This simplifies to 29x ≤ 4
3. Now, divide both sides by 29: x ≤ 4/29

This means that x can take any value less than or equal to 4/29. To graph this on a number line:

1. Draw a horizontal line representing the number line.
2. Locate the point corresponding to 4/29.
3. Since the inequality is less than or equal to (≤), draw a closed circle at 4/29 to indicate that this value is included in the solution.
4. Shade the line to the left of 4/29 to show that all values less than 4/29 are part of the solution.

In summary, the graph would show all the numbers to the left of and including 4/29 on the number line.