how do I graph the solution set of

x›4

To graph the solution set of the inequality x›4, we can follow these steps:

1. Draw a number line: Start by drawing a horizontal line and label it with the numbers that you want to consider.

2. Mark the critical value: Locate the value where the expression x›4 equals zero. In this case, it is at x=4. Mark this point on the number line.

3. Choose a test point: Select a test point to determine which side of the critical value satisfies the inequality. A good choice is a value between the critical value and another value on the number line. Let's choose x=3.

4. Evaluate the inequality: Substitute the chosen test point into the inequality x›4 and check if it is true or false. In this case, substituting x=3 into x›4 gives us 3›4, which is false.

5. Shade the appropriate region: If the test point is false, shade the region on the number line that does not include the test point. In this case, shade all the numbers to the left of x=4 since they are not solutions to the inequality.

6. Mark the solution set: Place an arrow or an open circle on the critical value to indicate that it is not included in the solution set. In this case, draw an open circle on x=4.

7. Finalize the graph: Add arrows to the ends of the shaded region to indicate that the inequality is true for all values in that region. In this case, draw arrows pointing to the left to show that the inequality x›4 is satisfied for all x less than 4.

By following these steps, you can graph the solution set of the inequality x›4.