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