Sure, let's break down the given problem into smaller parts and then build up the expression step-by-step.
1. Identify the quotient of 2 and \(\( x \)\):
- When we talk about the quotient of two numbers, we are essentially dividing one number by the other. Here, the quotient of 2 and \(\( x \)\) is represented as:
\(\[
\frac{2}{x}
\]\)
2. Subtract 9 from this quotient:
- To find an expression that is 9 less than this quotient, we simply subtract 9 from the quotient of 2 and \(\( x \)\). Thus, the expression becomes:
\(\[
\frac{2}{x} - 9
\]\)
Putting it all together, the expression representing "9 less than the quotient of 2 and \(\( x \)\)" is:
\(\[
-9 + \frac{2}{x}
\]\)
This expression effectively captures the given mathematical statement.