Question

solve for c.
|c| - 8 ≤ 20
write a compound inequality like 1 < x < 3 or like x < 1 or x > 3. use inte fractions, or improper fractions in simplest form.

Explanation:

Step1: Isolate the absolute value

To solve \(|c| - 8 \leq 20\), we first add 8 to both sides of the inequality.
\( |c| - 8 + 8 \leq 20 + 8 \)
\( |c| \leq 28 \)

Step2: Solve the absolute value inequality

The absolute value inequality \(|c| \leq 28\) means that \(c\) is between \(-28\) and \(28\) (inclusive). In compound inequality form, this is \(-28 \leq c \leq 28\).

Answer:

\(-28 \leq c \leq 28\)