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.

1 answer

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