Question

How do you solve and write the following in interval notation: `6<= 4x-2<=26`?

Answer 1

`x in [2,7]`.

Explanation:

`6<=4x-2<=26` Adding `2`,

`8<=4x<=28`

Now we multiply the inequality by `1/4>0`, so that, the sign will not be reversed. Hence,

`2<=x<=7`

`:.` in the Interval Form, this is written as `x in [2,7]`.