Given the Absolute Value Inequality:
[tex]|\frac{n}{10}|\leq4[/tex]You can solve it as follows:
1. Split the inequality into two inequalities:
- Inequality 1:
[tex]\frac{n}{10}\leq4[/tex]- Inequality 2:
[tex]\frac{n}{10}\ge-4[/tex]2. Solve for "n" on each inequality:
- Inequality 1:
[tex]\begin{gathered} n\leq4\cdot10 \\ n\leq40 \end{gathered}[/tex]- Inequality 2:
[tex]\begin{gathered} n\ge(-4)(10) \\ n\ge-40 \end{gathered}[/tex]3. You can write the solution as follows:
[tex]-40\leq n\leq40[/tex]Hence, the answer is:
[tex]-40\leq n\leq40[/tex]