To determine which values make the inequality \( x < -7 \) true, we need to select the numbers that are less than \(-7\).
Let's evaluate the provided options:
- -15: less than -7 (true)
- -8: less than -7 (true)
- -7.001: less than -7 (true)
- -6.99: greater than -7 (false)
- -4: greater than -7 (false)
- -12: less than -7 (true)
- -7.1: less than -7 (true)
- -7: equal to -7 (false)
- -7.9: less than -7 (true)
- -2: greater than -7 (false)
- -10: less than -7 (true)
- -7.01: less than -7 (true)
- -6.999: greater than -7 (false)
- -6: greater than -7 (false)
- 1: greater than -7 (false)
Now we can compile the values that are less than \(-7\):
- -15
- -8
- -7.001
- -12
- -7.1
- -7.9
- -10
- -7.01
In order from least to greatest, the values that satisfy \( x < -7 \) are:
\[ -15, -12, -10, -8, -7.9, -7.1, -7.001, -7.01 \]
So, the final answer in order from least to greatest is:
-15, -12, -10, -8, -7.9, -7.1, -7.001, -7.01.