Question

solve the absolute value equation.
|7v - 9| = -11
select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the solution set is { }.
(type an integer or a simplified fraction. use a comma to separate answers as needed.)
b. the solution set is ∅.

Explanation:

Step1: Recall absolute value property

The absolute value of any real number $|x|$ satisfies $|x| \geq 0$ for all $x \in \mathbb{R}$.

Step2: Compare with given equation

The equation is $|7v - 9| = -11$. Since the right-hand side $-11 < 0$, it violates the non-negativity of absolute value.

Answer:

B. The solution set is $\emptyset$.