Question

Select the values that make the inequality x←-7 true. Numbers written in order from least to greatest going across. Use as many answers as needed. Here are all the options, -2, -6.9, -7, -7.1, -12, -10, -7.01, -6.999, -6, 1, -4, -6.99, -7.001, -8, -15.

Answer 1

To solve the inequality \( x < -7 \), we need to find all the numbers from the given options that are less than -7.

Here are the options given:
- -2
- -6.9
- -7
- -7.1
- -12
- -10
- -7.01
- -6.999
- -6
- 1
- -4
- -6.99
- -7.001
- -8
- -15

Now, let's identify which of these options are less than -7:
- **-7.1** (true, since -7.1 < -7)
- **-12** (true)
- **-10** (true)
- **-7.01** (true)
- **-6.999** (false, since -6.999 is greater than -7)
- **-6** (false)
- **-4** (false)
- **-6.99** (false)
- **-7.001** (true)
- **-8** (true)
- **-15** (true)

So, the numbers that make the inequality \( x < -7 \) true are:

**-7.1, -12, -10, -7.01, -8, -15**.

In order from least to greatest, the final selection is:
- -15
- -12
- -10
- -8
- -7.01
- -7.1