Question

3.5.29
1 part -- of 1 point

solve.

\\8 - |x + 4| = 1\\

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

Using the Absolute Value Equations knowledge point

$$
LATEXBLOCK0
$$

Set up the two cases

Using the Absolute Value Equations knowledge point

$$ x + 4 = 7 \quad \text{or} \quad x + 4 = -7 $$

Solve each linear equation

Using the Absolute Value Equations knowledge point

$$
LATEXBLOCK1
$$

Answer:

• (A) The solution(s) is/are <blank>\(3, -11\)</blank>. (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.) (Correct answer)
• (B) There is no solution.