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.

1 answer

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.