Answer :
Final answer:
The invalid statement is option (d), which suggests a concatenation of numbers as a product of variables, a nonsensical operation in mathematics. Correct notation is crucial for clarity and proper mathematical communication.
Explanation:
The student is asking which of the mathematical statements given is invalid. The correct answer is option (d) ( mnq = 350036003700 ). This notation does not make mathematical sense as it suggests a multiplication of unspecified variables equals a concatenated string of numbers, which is not a valid mathematical operation. Each option attempts to represent either a set of values or an equation involving the variables m, n, and q. In mathematics, we use different notations to express specific ideas and it is important that these notations are used correctly to avoid confusion and ensure clarity.
Option (a) uses a subscript notation which could imply a specialized context or labeling, especially common in quantum mechanics or series. Option (b) represents three distinct products of the variables m, n, q, separated by commas, which is possible if the values for each product are stated afterwards. Option (c) presents a common notation for stating that there are pairs or sets of values for the variables m, n, and q, and it's clearly declaring that each of these variables can take one of the specified values.
