Question

How do you solve 1<3x+4<10?

Answer 1

`-1 < x < 2`

Explanation:

Adding or Subtracting a constant from each component of an inequality and Multiplying or Dividing by a constant greater than `0`, does not effect the orientation of the inequality.

So
`color(white)("XXXX")` `1 < 3x +4 <10`
becomes by subtracting `4` from each component
`color(white)("XXXX")` `-3 < 3x < 6`
which becomes by dividing each component by `3`
`color(white)("XXXX")` `-1 < x < 2`