9. Writing which of the numbers in words instead of X will make the following statement true: "This statement contains X letters e"?fivesixseveneightnineten

To determine which number in words should replace "X" in the statement "This statement contains X letters," we'll analyze the length of each potential word representation of the numbers five, six, seven, eight, nine, and ten, and then compare that length to the statement itself.

1. Break Down the Problem

• We have to determine how many letters are in each word representation of the numbers.
• Then we must see if the number of letters in that representation matches the actual count of letters in the word "X".

2. Relevant Concepts

• Count the number of letters in each word for the numbers given:
  • "five" = 4 letters
  • "six" = 3 letters
  • "seven" = 5 letters
  • "eight" = 5 letters
  • "nine" = 4 letters
  • "ten" = 3 letters

3. Analysis and Detail

Let's examine each option:

• If X = "five", the statement would read "This statement contains five letters." The variable word "five" has 4 letters, which does not match.
• If X = "six", the statement would read "This statement contains six letters." The variable word "six" has 3 letters, which does not match.
• If X = "seven", the statement would read "This statement contains seven letters." The variable word "seven" has 5 letters, which does match!
• If X = "eight", the statement would read "This statement contains eight letters." The variable word "eight" has 5 letters, which does not match.
• If X = "nine", the statement would read "This statement contains nine letters." The variable word "nine" has 4 letters, which does not match.
• If X = "ten", the statement would read "This statement contains ten letters." The variable word "ten" has 3 letters, which does not match.

4. Verify and Summarize

The only case where the number of letters in the word representation matches the actual count of letters in the word itself is when X is "seven." In this instance, both the statement and the word representation match numerically.

Final Answer

X should be replaced with "seven" in the statement.