Question

solve: \\(|x - 5| > 9\\)

give your answer as an interval.

Explanation:

Set up the compound inequality

Using the Absolute Value Equations and Solving Inequalities knowledge points

$$ x - 5 > 9 \quad \text{or} \quad x - 5 < -9 $$

Solve each inequality

Using the Solving Inequalities knowledge point

$$
LATEXBLOCK0
$$

Express the solution in interval notation

Using the Interval Notation knowledge point

$$ (-\infty, -4) \cup (14, \infty) $$

Answer:

Solve: \(|x - 5| > 9\)

Give your answer as an interval.
<blank>\((-\infty, -4) \cup (14, \infty)\)</blank>