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:
- \(n−7≥29\)
- \(7−n<29\)
- \(7−n<29\)
- \(7−n>29\)
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:
\(7−n>29\)