What is the difference between an integer x and 9 if it is 6? Find all possible values of x.

To find the possible values of x, we start by interpreting the statement: the difference between an integer x and 9 is 6. This can be expressed mathematically as:

|x – 9| = 6

This absolute value equation implies there are two scenarios to consider:

1. x – 9 = 6
2. x – 9 = -6

Now, let’s solve both equations:

1. For the first equation:

x - 9 = 6
x = 6 + 9
x = 15

2. For the second equation:

x - 9 = -6
x = -6 + 9
x = 3

Thus, the two possible values of x are:

• x = 15
• x = 3

In conclusion, the integer x can be either 15 or 3, as both satisfy the condition that their difference from 9 equals 6.