Question

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

Answer 1

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