Answer :
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 [tex]\( x \)[/tex]:
- When we talk about the quotient of two numbers, we are essentially dividing one number by the other. Here, the quotient of 2 and [tex]\( x \)[/tex] is represented as:
[tex]\[ \frac{2}{x} \][/tex]
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 [tex]\( x \)[/tex]. Thus, the expression becomes:
[tex]\[ \frac{2}{x} - 9 \][/tex]
Putting it all together, the expression representing "9 less than the quotient of 2 and [tex]\( x \)[/tex]" is:
[tex]\[ -9 + \frac{2}{x} \][/tex]
This expression effectively captures the given mathematical statement.
1. Identify the quotient of 2 and [tex]\( x \)[/tex]:
- When we talk about the quotient of two numbers, we are essentially dividing one number by the other. Here, the quotient of 2 and [tex]\( x \)[/tex] is represented as:
[tex]\[ \frac{2}{x} \][/tex]
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 [tex]\( x \)[/tex]. Thus, the expression becomes:
[tex]\[ \frac{2}{x} - 9 \][/tex]
Putting it all together, the expression representing "9 less than the quotient of 2 and [tex]\( x \)[/tex]" is:
[tex]\[ -9 + \frac{2}{x} \][/tex]
This expression effectively captures the given mathematical statement.
