6. Write an equation or inequality to represent "The quotient of a number $w$ and the sum of a number $a$ and nine is at most twelve more than the opposite of $v$.
Answer
Final Answer: The inequality that represents the given statement is $\boxed{\frac{w}{a+9} \leq -v + 12}$.
Step 1 ：The problem is asking to write an equation or inequality that represents the given statement. The statement can be broken down as follows:
Step 2 ：The quotient of a number $w$ and the sum of a number $a$ and nine can be represented as $\frac{w}{a+9}$.
Step 3 ：'is at most twelve more than the opposite of $v$' can be represented as $\leq -v + 12$.
Step 4 ：So, the inequality that represents the given statement is $\frac{w}{a+9} \leq -v + 12$.
Step 5 ：Final Answer: The inequality that represents the given statement is $\boxed{\frac{w}{a+9} \leq -v + 12}$.
