How do you graph x ≤ 4 on a number line?

To graph \( x \leq 4 \) on a number line, draw a line with a filled circle at 4 and shade left.

To start, draw a horizontal line to represent the number line. Mark several points on this line, including the number 4. Since the inequality is \( x \leq 4 \), you need to show that all numbers less than or equal to 4 are included.

Place a filled (or solid) circle on the number 4. The filled circle indicates that 4 is included in the solution set, as the inequality is "less than or equal to" (≤). If the inequality were just "less than" (<), you would use an open circle instead to show that 4 is not included.

Next, shade the number line to the left of the number 4. This shading represents all the numbers that are less than 4. You can use a pencil or a different colour to make the shading clear. The shaded area should extend indefinitely to the left, indicating that all numbers less than 4 are part of the solution.

By following these steps, you effectively communicate that any number to the left of 4, including 4 itself, satisfies the inequality \( x \leq 4 \). This visual representation helps in understanding and solving inequalities on a number line.