Question

Solve the inequality: |n/10| ≤ 4

Answer 1

Given the Absolute Value Inequality:

$|\frac{n}{10}|\leq4$

You can solve it as follows:

1. Split the inequality into two inequalities:

- Inequality 1:

$\frac{n}{10}\leq4$

- Inequality 2:

$\frac{n}{10}\ge-4$

2. Solve for "n" on each inequality:

- Inequality 1:

$\begin{gathered} n\leq4\cdot10 \\ n\leq40 \end{gathered}$

- Inequality 2:

$\begin{gathered} n\ge(-4)(10) \\ n\ge-40 \end{gathered}$

3. You can write the solution as follows:

$-40\leq n\leq40$

Hence, the answer is:

$-40\leq n\leq40$