To represent the given sentence mathematically, let's break it down step by step:
1. Identify the key components:
- "Three less than the product of seven and a number" can be written as [tex]\( 7n - 3 \)[/tex].
- Here, [tex]\( 7n \)[/tex] represents the product of seven and a number [tex]\( n \)[/tex].
- Subtracting 3 from this product gives [tex]\( 7n - 3 \)[/tex].
- "is" in mathematical terms translates to "equals" or [tex]\( = \)[/tex].
- "Four more than the number" can be written as [tex]\( n + 4 \)[/tex].
2. Form the equation:
- Combine these key components to form the equation.
- The sentence says: "Three less than the product of seven and a number is four more than the number."
- Therefore, it can be written as:
[tex]\[
7n - 3 = n + 4
\][/tex]
The equation that represents the given sentence is:
[tex]\[
7n - 3 = n + 4
\][/tex]
Thus, the correct choice is:
[tex]\[
\boxed{7n - 3 = n + 4}
\][/tex]
