To determine which numbers are a distance of 3 units from 12 on a number line, let's consider the following steps:
1. Start with the number 12.
2. Identify the two possible directions from 12: adding 3 units and subtracting 3 units.
First, let's add 3 units to 12:
[tex]\[ 12 + 3 = 15 \][/tex]
Next, let's subtract 3 units from 12:
[tex]\[ 12 - 3 = 9 \][/tex]
This means that there are two numbers that are 3 units away from 12 on the number line: 15 and 9.
So, among the given options, the correct numbers are:
- 15
- 9
Therefore, the correct selections are:
☑ 15
☑ 9
