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Solve the inequality: |n/10| ≤ 4

1 Answer

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Given the Absolute Value Inequality:


|(n)/(10)|\leq4

You can solve it as follows:

1. Split the inequality into two inequalities:

- Inequality 1:


(n)/(10)\leq4

- Inequality 2:


(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
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