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a number n is less than 6 units from 0 write the sentence as an absolute value inequality then solve the inequality

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"n is less than 6 units from 0"

Using 0 as the starting point, the unknown value n is less than 6 units away, this means that n can be 6 units away or less than 6, you can symbolize this as:


0-n<6

Since you have to write it as an absolute value:


|0-n|<6

Solve


\begin{gathered} |0-n|<6 \\ |-n|<6\text{ \rightarrow is an absolute value so it can be positive or negative} \\ |n|<6 \end{gathered}

n can be a positive or negative value so the result for the inequality is:

-6

User Aart Den Braber
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