Question

Select the values that make the inequality x←-7 true. Numbers written in order from least to greatest going across? Select as many answers as needed. Here are all the options, -15,- 8, -7.001, -6.99, -4, -12, -7.1, -7, -7.9, -2, -10, -7.01, -6.999, -6, 1.

Answer 1

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.