1+2 |x-1| less than or equal to 9

Amir Mehler asked Oct 19, 2023

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20 votes

Amir Mehler asked Oct 19, 2023

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9 votes

SOLUTION

The question is

$1+2|x-1|\leq9$

Now let's solve. This becomes

$\begin{gathered} 1+2|x-1|\leq9 \\ 2|x-1|\leq9-1 \\ 2|x-1|\leq8 \\ \\ \text{dividing both sides by x we have} \\ \\ |x-1|\leq4 \end{gathered}$

This becomes

$\begin{gathered} x-1\leq4 \\ or \\ x-1\ge4 \end{gathered}$

So we have our x as

Teacher answered Oct 25, 2023

2.8k points

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