Question

solve.

(|x - 1| + 6 = 8)

select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. the solution(s) is/are .
(simplify your answer. type an integer or a fraction. use a comma to separate answers as needed.)

b. there is no solution.

Explanation:

Isolate the absolute value expression

$$
LATEXBLOCK0
$$

Split into two linear equations

$$ x - 1 = 2 \quad \text{or} \quad x - 1 = -2 $$

Solve for x

$$
LATEXBLOCK1
$$

Answer:

• (A) The solution(s) is/are 3, -1. (Correct answer)
• (B) There is no solution.