Question

1. solve the inequality: |n| ≤ 8

a. n < -7 or n ≥ -4
b. n ≤ 0 or n > 8
c. 0 ≤ n < 8
d. -8 ≤ n ≤ 8

Explanation:

Step1: Recall absolute value inequality rule

For \(|x| \leq a\) (where \(a \geq 0\)), the solution is \(-a \leq x \leq a\).

Step2: Apply the rule to \(|n| \leq 8\)

Here, \(a = 8\), so substituting into the rule, we get \(-8 \leq n \leq 8\).

Answer:

D. \(-8 \leq n \leq 8\)