Question

How do you solve and write the following in interval notation: `-12<8-x<=-7`?

Answer 1

See explanation.

Explanation:

`-12 < 8-x < -7`

First you subtract `8` from all sides.

`-20 < -x < -15`

Next step is to multiply all sides by `-1` with changing the inequality sign from `<` to `>`

`20 > x > 15`

Finally you can write the solution in an interval form:

`x in (15;20)`