Question

Solve.[x] - 8 = 1Select the correct choice below and, if necessary, fill in the answer box to complete your choiceOÀ. The solution set is {}. (Use a comma to separate answers as needed.)B. The solution is the empty set.

Answer 1

The initial expression is:

| x | - 8 = 1

For the absolute value of x, we have 2 options:

if x is positive:

| x | = x

If x is negative:

| x | = -x

So, if x is positive, the expression is:

x - 8 = 1

Solving for x, we get:

x - 8 + 8 = 1 + 8

x = 9

At the same way, if x is negative, we get:

- x - 8 = 1

- x - 8 + 8 = 1 + 8

- x = 9

(- x)(-1) = 9 (-1)

x = -9

Therefore, the solution set is {9, -9}.

Answer: The solution set is {9, -9}.