Which inequality represents the sentence?The difference of seven and a number is more than twenty-nine.(1 point)Responsesn−7≥29n minus 7 is greater than or equal to 297−n<297−n<297−n>297 minus n is greater than 29n−7<29n−7<29

1 answer

To translate the sentence "The difference of seven and a number is more than twenty-nine" into an inequality, we start by identifying the components:

  • "The difference of seven and a number" can be represented as \(7 - n\) (where \(n\) is the number).
  • "is more than twenty-nine" translates to the inequality \(> 29\).

Putting it all together, we get the inequality:

\[ 7 - n > 29 \]

Since this is not one of the options you provided, let's check what they are:

  1. \(n−7≥29\)
  2. \(7−n<29\)
  3. \(7−n<29\)
  4. \(7−n>29\)

From this list, the correct representation of "The difference of seven and a number is more than twenty-nine" is:

\[ 7−n>29 \]

So the final answer is:

\(7−n>29\)