Question

watch the video and then solve the problem given below.
click here to watch the video.
solve the absolute value equation or indicate that the equation has no solution.
|2x - 1| = 9
select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the solution set is { } (simplify your answer. use a comma to separate answers as needed.)
b. the solution set is the empty set.

Explanation:

Step1: Split absolute value equation

For $|2x-1|=9$, we get two cases:
$2x - 1 = 9$ or $2x - 1 = -9$

Step2: Solve first linear equation

Isolate $x$ by adding 1 then dividing by 2.
$2x = 9 + 1 = 10$
$x = \frac{10}{2} = 5$

Step3: Solve second linear equation

Isolate $x$ by adding 1 then dividing by 2.
$2x = -9 + 1 = -8$
$x = \frac{-8}{2} = -4$

Answer:

A. The solution set is $\{5, -4\}$