To determine which equation represents the statement "The difference of a number [tex]\( n \)[/tex] and the number 8 is 42," let's analyze the sentence step by step.
1. Understanding "the difference of a number [tex]\( n \)[/tex] and the number 8":
- The phrase "the difference of a number [tex]\( n \)[/tex] and the number 8" implies a subtraction operation where [tex]\( n \)[/tex] is subtracted by 8. This can be represented mathematically as [tex]\( n - 8 \)[/tex].
2. Understanding "is 42":
- The word "is" translates to an equals sign [tex]\( = \)[/tex].
- Therefore, "is 42" can be written as [tex]\( = 42 \)[/tex].
Combining these two parts, we get the equation:
[tex]\[ n - 8 = 42 \][/tex]
So, the correct equation that represents the statement is:
[tex]\[ n - 8 = 42 \][/tex]
Hence, the correct answer is:
[tex]\[ n - 8 = 42 \][/tex]
